Data.Colour.SRGB:transferFunction from colour-2.3.3

Time bar (total: 4.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory
-44.6MiB live, 2.3MiB allocated; 2ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.0s (22.9%)

Memory
37.1MiB live, 1 012.1MiB allocated; 245ms collecting garbage
Samples
797.0ms8 254×0valid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 562.0ms
ival-mult: 251.0ms (44.7% of total)
ival-add: 223.0ms (39.7% of total)
ival-sub: 71.0ms (12.6% of total)
ival-true: 6.0ms (1.1% of total)
exact: 5.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

explain127.0ms (2.8%)

Memory
-4.3MiB live, 144.3MiB allocated; 11ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(*.f64 (+.f64 x #s(literal 1 binary64)) y)
00-0-y
00-0-(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
00-0-#s(literal 1 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
48.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (38.6% of total)
ival-add: 3.0ms (29% of total)
ival-sub: 2.0ms (19.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess73.0ms (1.6%)

Memory
19.8MiB live, 115.0MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
12643
25441
315641
429536
554535
694735
7130935
8136335
9136335
067
097
1137
2217
3527
4947
51807
62957
74577
86107
97207
107407
07406
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(-.f64 (fma.f64 y x y) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify27.0ms (0.6%)

Memory
-5.6MiB live, 41.4MiB allocated; 2ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
cost-diff1
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11318
22118
35218
49418
518018
629518
745718
861018
972018
1074018
074016
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y
Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(-.f64 (fma.f64 y x y) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(fma.f64 y x y)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
y

localize31.0ms (0.7%)

Memory
13.2MiB live, 57.3MiB allocated; 4ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.01171875
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
Samples
24.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sub: 7.0ms (49.5% of total)
ival-add: 4.0ms (28.3% of total)
ival-mult: 3.0ms (21.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Counts
3 → 19
Calls
Call 1
Inputs
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(+.f64 x #s(literal 1 binary64))
Outputs
y
(+ y (* x y))
(+ y (* x (- y 1)))
1
(+ 1 x)
(* x y)
(* x (+ y (/ y x)))
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* y (+ 1 x))
(* -1 x)
(- (* y (+ 1 x)) x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@inf
((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
1.0ms
x
@-inf
((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
1.0ms
y
@-inf
((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
1.0ms
x
@inf
((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
1.0ms
y
@0
((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))

simplify154.0ms (3.4%)

Memory
-42.8MiB live, 108.9MiB allocated; 41ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04186
114786
247086
3135886
4311186
5548686
6676186
0804276
Stop Event
iter limit
node limit
Counts
19 → 17
Calls
Call 1
Inputs
y
(+ y (* x y))
(+ y (* x (- y 1)))
1
(+ 1 x)
(* x y)
(* x (+ y (/ y x)))
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* y (+ 1 x))
(* -1 x)
(- (* y (+ 1 x)) x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
Outputs
y
(+ y (* x y))
(fma.f64 y x y)
(+ y (* x (- y 1)))
(fma.f64 (+.f64 #s(literal -1 binary64) y) x y)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* x y)
(*.f64 y x)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- (+ y (/ y x)) 1))
(fma.f64 (+.f64 #s(literal -1 binary64) y) x y)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ 1 (* -1 y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* -1 x)
(neg.f64 x)
(- (* y (+ 1 x)) x)
(fma.f64 (+.f64 #s(literal -1 binary64) y) x y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) x y)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) x y)

rewrite217.0ms (4.8%)

Memory
4.5MiB live, 335.3MiB allocated; 93ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13715
224615
3296915
01045813
Stop Event
iter limit
node limit
iter limit
Counts
3 → 252
Calls
Call 1
Inputs
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(+.f64 x #s(literal 1 binary64))
Outputs
(*.f64 (fabs.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fabs.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(*.f64 (fabs.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fabs.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (fabs.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(*.f64 (fabs.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (fabs.f64 (fma.f64 x x #s(literal -1 binary64))) (fabs.f64 (/.f64 y (-.f64 x #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (fabs.f64 y)))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 y x y)))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 y x y)))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 y x y))) (sqrt.f64 (neg.f64 (fma.f64 y x y))))
(*.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 y x y) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 (fma.f64 y x y) y)))
(*.f64 (exp.f64 (log1p.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (fabs.f64 y) (fabs.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) x)) (fabs.f64 y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 y (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) y)
(pow.f64 (neg.f64 (fma.f64 y x y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 y x y) #s(literal 1 binary64))
(/.f64 (fabs.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y)) (fabs.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fabs.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) y)) (fabs.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fabs.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (fabs.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fabs.f64 (*.f64 y (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (fabs.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fabs.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fabs.f64 (-.f64 y (*.f64 y x))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (fabs.f64 (-.f64 (*.f64 y x) y)))
(/.f64 (fabs.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (*.f64 y x))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 y x) y)))))
(/.f64 (fabs.f64 (fabs.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (fabs.f64 (fabs.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (fabs.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y))) (fabs.f64 (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 y x y))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (fma.f64 y x y))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (fma.f64 y x y) y))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 y x y) y))) (sqrt.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 y x y) y))) (sqrt.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 y x y) y))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 y x y) y))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 y x y) y) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 y x y) y) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 y x y) y) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 y x y) y) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 y x y) y) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 y x y) (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
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(fma.f64 (sqrt.f64 (*.f64 (fma.f64 y x y) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 (fma.f64 y x y) y)) (neg.f64 x))
(fma.f64 (exp.f64 (log1p.f64 x)) (exp.f64 (log.f64 y)) (neg.f64 x))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log1p.f64 x)) (neg.f64 x))
(fma.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (neg.f64 x))
(fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (neg.f64 x))
(fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 x))
(fma.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (fma.f64 y x y)) (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (-.f64 (fma.f64 y x y) x) (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 (fabs.f64 y) (fabs.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(fma.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) x)) (fabs.f64 y) (neg.f64 x))
(fma.f64 (*.f64 (fma.f64 y x y) y) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) (/.f64 y (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (-.f64 y x))
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (*.f64 y y) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 (neg.f64 (fma.f64 y x y)) (/.f64 (neg.f64 (fma.f64 y x y)) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 y (-.f64 x #s(literal 1 binary64))) (neg.f64 x))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(fma.f64 (fma.f64 y x y) (/.f64 (fma.f64 y x y) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 y (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 y (+.f64 #s(literal 1 binary64) x) (neg.f64 x))
(fma.f64 y #s(literal 1 binary64) (-.f64 (*.f64 y x) x))
(fma.f64 y x (-.f64 y x))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (fma.f64 y x y) y) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 (+.f64 #s(literal 1 binary64) x) y (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (-.f64 y x))
(fma.f64 #s(literal 1 binary64) y (-.f64 (*.f64 y x) x))
(fma.f64 x y (-.f64 y x))
(-.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))))
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 y x) (-.f64 y x))
(+.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(+.f64 (fma.f64 y x y) (neg.f64 x))
(+.f64 y (-.f64 (*.f64 y x) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval33.0ms (0.7%)

Memory
35.9MiB live, 80.4MiB allocated; 9ms collecting garbage
Compiler

Compiled 5 323 to 887 computations (83.3% saved)

prune10.0ms (0.2%)

Memory
-27.8MiB live, 18.0MiB allocated; 11ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2554259
Fresh000
Picked101
Done000
Total2564260
Accuracy
100.0%
Counts
260 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y x (-.f64 y x))
75.0%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
63.6%
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
40.1%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify29.0ms (0.6%)

Memory
8.2MiB live, 54.1MiB allocated; 8ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
cost-diff0
(fma.f64 y x (-.f64 y x))
cost-diff0
#s(approx (+ x 1) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
cost-diff0
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (* (+ x 1) y) (*.f64 y x))
cost-diff0
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01673
02373
13272
24672
37172
413472
524672
641572
756472
876672
983672
1084672
084670
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
x
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (* (+ x 1) y) (*.f64 y x))
(*.f64 y x)
y
x
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
#s(approx (+ x 1) #s(literal 1 binary64))
#s(literal 1 binary64)
y
x
(fma.f64 y x (-.f64 y x))
y
x
(-.f64 y x)
Outputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
x
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (* (+ x 1) y) (*.f64 y x))
(*.f64 y x)
y
x
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y (neg.f64 x))
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
#s(approx (+ x 1) #s(literal 1 binary64))
#s(literal 1 binary64)
y
x
(fma.f64 y x (-.f64 y x))
(-.f64 (fma.f64 y x y) x)
y
x
(-.f64 y x)

localize100.0ms (2.2%)

Memory
-0.3MiB live, 87.6MiB allocated; 38ms collecting garbage
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 y x (-.f64 y x))
accuracy0.0
(-.f64 y x)
accuracy0.0
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
accuracy0.01171875
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
accuracy32.86185734196314
#s(approx (+ x 1) #s(literal 1 binary64))
accuracy0.0
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
accuracy0.0
(*.f64 y x)
accuracy30.73591682615931
#s(approx (* (+ x 1) y) (*.f64 y x))
accuracy0.0
(neg.f64 x)
accuracy38.306009650422894
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Samples
52.0ms256×0valid
Compiler

Compiled 59 to 12 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 35.0ms (84.9% of total)
ival-add: 3.0ms (7.3% of total)
ival-sub: 2.0ms (4.9% of total)
ival-neg: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Counts
10 → 27
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (* (+ x 1) y) (*.f64 y x))
(*.f64 y x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
#s(approx (+ x 1) #s(literal 1 binary64))
(fma.f64 y x (-.f64 y x))
(-.f64 y x)
Outputs
y
(+ y (* x (- y 1)))
(* -1 x)
(+ y (* x y))
(* x y)
1
(+ 1 x)
(+ y (* -1 x))
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (+ y (/ y x)))
x
(* x (+ 1 (/ 1 x)))
(* x (- (/ y x) 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(- y x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(* -1 (* y (- (/ x y) 1)))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) (+ (* y x) (- y x)) (- y x))
1.0ms
y
@-inf
((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) (+ (* y x) (- y x)) (- y x))
1.0ms
x
@-inf
((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) (+ (* y x) (- y x)) (- y x))
1.0ms
x
@inf
((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) (+ (* y x) (- y x)) (- y x))
1.0ms
x
@0
((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) (+ (* y x) (- y x)) (- y x))

simplify132.0ms (2.9%)

Memory
36.4MiB live, 123.6MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060122
1198116
2603116
31605116
43632116
54756116
65634116
76629116
87374116
97741116
08828104
Stop Event
iter limit
node limit
Counts
27 → 25
Calls
Call 1
Inputs
y
(+ y (* x (- y 1)))
(* -1 x)
(+ y (* x y))
(* x y)
1
(+ 1 x)
(+ y (* -1 x))
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (+ y (/ y x)))
x
(* x (+ 1 (/ 1 x)))
(* x (- (/ y x) 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(- y x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(* -1 (* y (- (/ x y) 1)))
Outputs
y
(+ y (* x (- y 1)))
(fma.f64 (+.f64 #s(literal -1 binary64) y) x y)
(* -1 x)
(neg.f64 x)
(+ y (* x y))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ y (* -1 x))
(-.f64 y x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- (+ y (/ y x)) 1))
(fma.f64 (+.f64 #s(literal -1 binary64) y) x y)
(* x (+ y (/ y x)))
(fma.f64 y x y)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(- (* y (+ 1 x)) x)
(fma.f64 (+.f64 #s(literal -1 binary64) y) x y)
(* y (+ 1 x))
(fma.f64 y x y)
(- y x)
(-.f64 y x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) x y)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(fma.f64 (+.f64 #s(literal -1 binary64) y) x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(fma.f64 (+.f64 #s(literal -1 binary64) y) x y)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)

rewrite282.0ms (6.2%)

Memory
-12.0MiB live, 288.4MiB allocated; 82ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01665
02365
19764
273064
0848462
Stop Event
iter limit
node limit
iter limit
Counts
10 → 150
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (* (+ x 1) y) (*.f64 y x))
(*.f64 y x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
#s(approx (+ x 1) #s(literal 1 binary64))
(fma.f64 y x (-.f64 y x))
(-.f64 y x)
Outputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)) (/.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)) (/.f64 (*.f64 x x) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)))) (+.f64 (/.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)) (/.f64 (*.f64 x x) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)) (/.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)) (/.f64 (*.f64 x x) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)) (*.f64 (/.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)) (/.f64 (*.f64 x x) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)) (*.f64 (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (*.f64 x x))) (*.f64 (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64))) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x))
(/.f64 (-.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 x x))) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)) (/.f64 (*.f64 x x) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)))
(-.f64 (/.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)))))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
(+.f64 (/.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)))
(+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) (neg.f64 x))
#s(approx (* (+ x 1) y) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 x y)
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(-.f64 y x)
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(+.f64 y (neg.f64 x))

eval30.0ms (0.7%)

Memory
1.1MiB live, 47.7MiB allocated; 2ms collecting garbage
Compiler

Compiled 5 990 to 513 computations (91.4% saved)

prune12.0ms (0.3%)

Memory
-30.5MiB live, 14.9MiB allocated; 2ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1581159
Fresh000
Picked134
Done000
Total1594163
Accuracy
100.0%
Counts
163 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
63.6%
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
40.1%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
61.2%
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
Compiler

Compiled 42 to 31 computations (26.2% saved)

simplify22.0ms (0.5%)

Memory
-7.8MiB live, 47.0MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y x y)
cost-diff0
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
0817
11217
22717
34717
48217
511217
620217
740317
866217
973617
1083917
1185917
085917
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
(fma.f64 y x y)
y
x
Outputs
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
(fma.f64 y x y)
(fma.f64 x y y)
y
x

localize19.0ms (0.4%)

Memory
28.1MiB live, 73.2MiB allocated; 4ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 y x y)
accuracy24.824802768318627
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
Samples
14.0ms256×0valid
Compiler

Compiled 16 to 8 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 3.0ms (37.4% of total)
ival-add: 3.0ms (37.4% of total)
ival-mult: 2.0ms (24.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Counts
2 → 16
Calls
Call 1
Inputs
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
(fma.f64 y x y)
Outputs
y
(+ y (* x (- y 1)))
(+ y (* x y))
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x y)
(* x (+ y (/ y x)))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 x)
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
((+ (* y x) (- y x)) (+ (* y x) y))
0.0ms
y
@inf
((+ (* y x) (- y x)) (+ (* y x) y))
0.0ms
x
@-inf
((+ (* y x) (- y x)) (+ (* y x) y))
0.0ms
x
@inf
((+ (* y x) (- y x)) (+ (* y x) y))
0.0ms
y
@0
((+ (* y x) (- y x)) (+ (* y x) y))

simplify140.0ms (3.1%)

Memory
-24.7MiB live, 166.7MiB allocated; 13ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04183
113683
242083
3117183
4278383
5446183
6527183
7609483
8715083
0814472
Stop Event
iter limit
node limit
Counts
16 → 15
Calls
Call 1
Inputs
y
(+ y (* x (- y 1)))
(+ y (* x y))
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x y)
(* x (+ y (/ y x)))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 x)
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
Outputs
y
(+ y (* x (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(+ y (* x y))
(fma.f64 x y y)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x y)
(*.f64 x y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* -1 (* x (+ 1 (* -1 y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* -1 x)
(neg.f64 x)
(- (* y (+ 1 x)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 x y y)
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)

rewrite337.0ms (7.5%)

Memory
-12.8MiB live, 285.4MiB allocated; 146ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
0815
14415
238015
3548115
0813715
Stop Event
iter limit
node limit
iter limit
Counts
2 → 67
Calls
Call 1
Inputs
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
(fma.f64 y x y)
Outputs
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
(*.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) y (neg.f64 y))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 x y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y (*.f64 x y)) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (-.f64 y (*.f64 x y)) y)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 x y)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y (*.f64 x y)) y) (-.f64 (*.f64 (-.f64 y (*.f64 x y)) y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) y (neg.f64 y))) (*.f64 y (fma.f64 (*.f64 x x) y (neg.f64 y)))) (fma.f64 x y y))
(*.f64 (+.f64 #s(literal 1 binary64) x) y)
(*.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y)))) (/.f64 (fma.f64 x y y) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))))
(*.f64 (fma.f64 x y y) (/.f64 (-.f64 (*.f64 x y) y) (-.f64 (*.f64 x y) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x y) y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 x y) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x y) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x y) y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 x y) y)))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y)))))))))
(/.f64 (neg.f64 (*.f64 y (-.f64 y (*.f64 (*.f64 x x) y)))) (neg.f64 (-.f64 y (*.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 x x) y (neg.f64 y))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x y) y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) y)) (*.f64 (-.f64 (*.f64 x y) y) (*.f64 y y))) (pow.f64 (-.f64 (*.f64 x y) y) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y)))) (*.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y)))) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 x y) y)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (-.f64 (*.f64 x y) y)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))))
(/.f64 (*.f64 y (-.f64 y (*.f64 (*.f64 x x) y))) (-.f64 y (*.f64 x y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (*.f64 x y) #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 x x) y (neg.f64 y)))) (neg.f64 (-.f64 (*.f64 x y) y)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))))
(/.f64 (*.f64 y (fma.f64 (*.f64 x x) y (neg.f64 y))) (-.f64 (*.f64 x y) y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 x x) y (neg.f64 y)))) (-.f64 (*.f64 x y) y)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))))
(neg.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) y (neg.f64 y))) (neg.f64 (-.f64 (*.f64 x y) y))))
(neg.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y)))))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y (*.f64 x y)) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (-.f64 y (*.f64 x y)) y)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 x y)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y (*.f64 x y)) y) (-.f64 (*.f64 (-.f64 y (*.f64 x y)) y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))))
(fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 x y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (neg.f64 y)))) (fma.f64 x y y) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y (*.f64 x y)) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (-.f64 y (*.f64 x y)) y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))))
(fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 x y)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y (*.f64 x y)) y) (-.f64 (*.f64 (-.f64 y (*.f64 x y)) y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))))
(fma.f64 (*.f64 (*.f64 x x) y) (/.f64 y (-.f64 (*.f64 x y) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))))
(fma.f64 (*.f64 (neg.f64 y) x) (/.f64 (*.f64 (neg.f64 y) x) (-.f64 (*.f64 x y) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 (fabs.f64 (*.f64 x y)) (/.f64 (fabs.f64 (*.f64 x y)) (-.f64 (*.f64 x y) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 (*.f64 x x) (*.f64 y (/.f64 y (-.f64 (*.f64 x y) y))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))))
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 x (-.f64 (*.f64 x y) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 (*.f64 y y) (/.f64 y (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 (*.f64 x y) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (*.f64 x y) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))))
(fma.f64 (*.f64 x y) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 (*.f64 x y) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))))
(fma.f64 x (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 x y) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 x y y)
(fma.f64 y (/.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))))
(fma.f64 y (/.f64 (*.f64 (*.f64 x x) y) (-.f64 (*.f64 x y) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 y x y)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 x y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 y (*.f64 x y))))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 x y) y))))
(-.f64 y (*.f64 (neg.f64 y) x))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))))
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))))
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(+.f64 (*.f64 x y) y)
(+.f64 y (*.f64 (neg.f64 (neg.f64 x)) y))
(+.f64 y (*.f64 (neg.f64 (neg.f64 y)) x))
(+.f64 y (*.f64 x y))

eval8.0ms (0.2%)

Memory
18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 567 to 291 computations (88.7% saved)

prune3.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New71172
Fresh000
Picked011
Done033
Total71576
Accuracy
100.0%
Counts
76 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
63.6%
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
40.1%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
61.2%
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
25.4%
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
Compiler

Compiled 59 to 40 computations (32.2% saved)

simplify26.0ms (0.6%)

Memory
-43.6MiB live, 15.9MiB allocated; 11ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (+ (* y x) y) (*.f64 x y))
cost-diff0
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
01031
11431
22931
34931
48431
511431
620431
740531
866731
974431
1084731
1186631
086628
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
#s(approx (+ (* y x) y) (*.f64 x y))
(*.f64 x y)
x
y
Outputs
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
#s(approx (+ (* y x) y) (*.f64 x y))
(*.f64 x y)
x
y

localize19.0ms (0.4%)

Memory
35.2MiB live, 35.2MiB allocated; 0ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy24.824802768318627
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
accuracy30.73591682615931
#s(approx (+ (* y x) y) (*.f64 x y))
Samples
14.0ms256×0valid
Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (53.5% of total)
ival-add: 2.0ms (26.8% of total)
ival-sub: 1.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
-36.7MiB live, 6.9MiB allocated; 11ms collecting garbage
Counts
3 → 16
Calls
Call 1
Inputs
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
#s(approx (+ (* y x) y) (*.f64 x y))
(*.f64 x y)
Outputs
y
(+ y (* x (- y 1)))
(+ y (* x y))
(* x y)
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (+ y (/ y x)))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 x)
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((+ (* y x) (- y x)) (+ (* y x) y) (* x y))
1.0ms
y
@0
((+ (* y x) (- y x)) (+ (* y x) y) (* x y))
1.0ms
y
@-inf
((+ (* y x) (- y x)) (+ (* y x) y) (* x y))
0.0ms
y
@inf
((+ (* y x) (- y x)) (+ (* y x) y) (* x y))
0.0ms
x
@inf
((+ (* y x) (- y x)) (+ (* y x) y) (* x y))

simplify148.0ms (3.3%)

Memory
41.2MiB live, 184.3MiB allocated; 28ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04183
113683
242083
3117183
4278383
5446183
6527183
7609483
8715083
0814472
Stop Event
iter limit
node limit
Counts
16 → 15
Calls
Call 1
Inputs
y
(+ y (* x (- y 1)))
(+ y (* x y))
(* x y)
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (+ y (/ y x)))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 x)
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
Outputs
y
(+ y (* x (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(+ y (* x y))
(fma.f64 x y y)
(* x y)
(*.f64 x y)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* -1 (* x (+ 1 (* -1 y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* -1 x)
(neg.f64 x)
(- (* y (+ 1 x)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 x y y)
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)

rewrite489.0ms (10.8%)

Memory
-46.7MiB live, 391.5MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
01029
14629
238229
3547729
0813126
Stop Event
iter limit
node limit
iter limit
Counts
3 → 4
Calls
Call 1
Inputs
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
#s(approx (+ (* y x) y) (*.f64 x y))
(*.f64 x y)
Outputs
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
#s(approx (+ (* y x) y) (*.f64 x y))
(*.f64 x y)
(*.f64 y x)

eval1.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 156 to 28 computations (82.1% saved)

prune3.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New10010
Fresh000
Picked011
Done044
Total10515
Accuracy
100.0%
Counts
15 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
63.6%
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
40.1%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
61.2%
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
25.4%
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
Compiler

Compiled 131 to 69 computations (47.3% saved)

regimes8.0ms (0.2%)

Memory
21.5MiB live, 21.5MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(fma.f64 y x (-.f64 y x))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Outputs
(fma.f64 y x (-.f64 y x))
Calls

3 calls:

3.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
100.0%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
100.0%1x
100.0%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.2%)

Memory
-27.3MiB live, 18.9MiB allocated; 2ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
Outputs
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
Calls

3 calls:

3.0ms
x
2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms
y
Results
AccuracySegmentsBranch
88.4%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
98.1%3x
98.5%3y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
Outputs
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
89.1%3x
89.1%3y
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
Outputs
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
Calls

3 calls:

2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
65.6%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
68.6%3x
88.3%3y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
Outputs
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
Calls

3 calls:

1.0ms
y
1.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms
x
Results
AccuracySegmentsBranch
52.6%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
40.1%1x
62.1%3y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes26.0ms (0.6%)

Memory
-36.8MiB live, 9.4MiB allocated; 3ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Outputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Calls

3 calls:

24.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
40.1%1x
40.1%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
40.1%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch42.0ms (0.9%)

Memory
-3.1MiB live, 49.1MiB allocated; 11ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
4.02961706928206e-16
2.885698139874277e-11
10.0ms
-3454.3018676884226
-0.18438307257062414
Samples
28.0ms272×0valid
Compiler

Compiled 367 to 300 computations (18.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (37.9% of total)
ival-mult: 2.0ms (37.9% of total)
ival-sub: 1.0ms (18.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.6%)

Memory
10.1MiB live, 53.1MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
4.02961706928206e-16
2.885698139874277e-11
11.0ms
-10689210521.160595
-3454.3018676884226
Samples
11.0ms256×0valid
Compiler

Compiled 424 to 317 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (39.2% of total)
ival-mult: 2.0ms (39.2% of total)
ival-sub: 1.0ms (19.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.3%)

Memory
24.1MiB live, 24.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.02961706928206e-16
2.885698139874277e-11
11.0ms
-0.04752774328982199
-1.4837602170725272e-9
Samples
6.0ms144×0valid
Compiler

Compiled 406 to 317 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (34.6% of total)
ival-add: 1.0ms (34.6% of total)
ival-mult: 1.0ms (34.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.4%)

Memory
-8.1MiB live, 34.4MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.1796174915968302
54488.592788945105
1.0ms
-3454.3018676884226
-0.18438307257062414
Samples
6.0ms144×0valid
Compiler

Compiled 469 to 334 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (35.1% of total)
ival-add: 1.0ms (35.1% of total)
ival-mult: 1.0ms (35.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify37.0ms (0.8%)

Memory
-13.7MiB live, 30.1MiB allocated; 9ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044145
169145
289145
3114145
4185145
5342145
6493145
7572145
8619145
9620145
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 4410161389954167/154742504910672534362390528 binary64)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -950000 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 6734393813712469/39614081257132168796771975168 binary64)) (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -4593918114535591/2417851639229258349412352 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 6734393813712469/39614081257132168796771975168 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Outputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 4410161389954167/154742504910672534362390528 binary64)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 4410161389954167/154742504910672534362390528 binary64)))) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))
(if (<=.f64 y #s(literal -950000 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 6734393813712469/39614081257132168796771975168 binary64)) (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y))))
(if (or (<=.f64 y #s(literal -950000 binary64)) (not (<=.f64 y #s(literal 6734393813712469/39614081257132168796771975168 binary64)))) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (-.f64 #s(approx (+ (* y x) y) (*.f64 y x)) x))
(if (<=.f64 y #s(literal -4593918114535591/2417851639229258349412352 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 6734393813712469/39614081257132168796771975168 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y))))
(if (or (<=.f64 y #s(literal -4593918114535591/2417851639229258349412352 binary64)) (not (<=.f64 y #s(literal 6734393813712469/39614081257132168796771975168 binary64)))) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) #s(approx (+ (* y x) (- y x)) (neg.f64 x)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y))) #s(approx (+ (* y x) (- y x)) (neg.f64 x)))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) (neg.f64 x))

derivations757.0ms (16.8%)

Memory
4.9MiB live, 637.1MiB allocated; 101ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13715
224615
3296915
01045813
04186
114786
247086
3135886
4311186
5548686
6676186
0804276
04183
113683
242083
3117183
4278383
5446183
6527183
7609483
8715083
0814472
060122
1198116
2603116
31605116
43632116
54756116
65634116
76629116
87374116
97741116
08828104
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 145 to 46 computations (68.3% saved)

preprocess37.0ms (0.8%)

Memory
27.4MiB live, 70.6MiB allocated; 7ms collecting garbage
Compiler

Compiled 304 to 104 computations (65.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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