Data.Colour.SRGB:transferFunction from colour-2.3.3

Time bar (total: 4.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
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)

sample944.0ms (19.7%)

Memory
-23.8MiB live, 684.5MiB allocated
Samples
610.0ms8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 260.0ms
ival-mult: 154.0ms (59.3% of total)
ival-add: 53.0ms (20.4% of total)
ival-sub: 38.0ms (14.6% of total)
ival-true: 6.0ms (2.3% of total)
exact: 5.0ms (1.9% of total)
ival-assert: 3.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain82.0ms (1.7%)

Memory
4.2MiB live, 85.0MiB allocated
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
30.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 3.0ms (30.6% of total)
ival-mult: 3.0ms (30.6% of total)
ival-sub: 2.0ms (20.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess53.0ms (1.1%)

Memory
-1.8MiB live, 74.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
13939
212537
350135
4105135
5139835
6145235
7145635
067
097
1157
2277
3587
41097
51957
63937
76197
87067
97127
07126
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)
(fma.f64 y x (-.f64 y x))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
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)

simplify17.0ms (0.4%)

Memory
27.3MiB live, 27.3MiB allocated
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-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11518
22718
35818
410918
519518
639318
761918
870618
971218
071216
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)
(fma.f64 y x (-.f64 y x))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(fma.f64 y x y)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
y

localize19.0ms (0.4%)

Memory
-11.0MiB live, 27.9MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.00390625
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
accuracy0.0078125
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
Samples
14.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 3.0ms (38.1% of total)
ival-add: 3.0ms (38.1% of total)
ival-mult: 2.0ms (25.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated
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
1.0ms
y
@inf
((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
0.0ms
x
@-inf
((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
0.0ms
x
@inf
((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
0.0ms
y
@-inf
((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
0.0ms
y
@0
((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))

simplify140.0ms (2.9%)

Memory
-20.3MiB live, 99.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04186
114086
237986
3103386
4256586
5388286
6464986
7559386
8612086
9668486
10772786
0813676
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 y #s(literal 1 binary64)) 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))
(fma.f64 y x (neg.f64 x))
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) 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))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* -1 x)
(neg.f64 x)
(- (* y (+ 1 x)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)

rewrite175.0ms (3.7%)

Memory
20.5MiB live, 220.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13815
226915
3336415
0852513
Stop Event
iter limit
node limit
iter limit
Counts
3 → 328
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 (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 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 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 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) y) #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 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) y) #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 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 y (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(*.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 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) y))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) y)
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y)) #s(literal -1 binary64))
(pow.f64 (fma.f64 y x y) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) y)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 y x) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (*.f64 y x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 y x) y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y))) (exp.f64 (log1p.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) y) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 y) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 y (*.f64 y x)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 y x) y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 y x) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y))))
(/.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 y x y)
(fma.f64 #s(literal 1 binary64) (*.f64 y x) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 x y y)
(exp.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 x)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 y) (log1p.f64 x)))
(+.f64 (*.f64 y x) y)
(+.f64 y (*.f64 y x))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 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 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 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 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 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 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (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 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 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)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(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 (/.f64 (*.f64 x x) (-.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 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #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)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval67.0ms (1.4%)

Memory
-1.0MiB live, 85.4MiB allocated
Compiler

Compiled 7 658 to 1 058 computations (86.2% saved)

prune7.0ms (0.2%)

Memory
-18.5MiB live, 18.4MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3314335
Fresh000
Picked101
Done000
Total3324336
Accuracy
100.0%
Counts
336 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y x (-.f64 y x))
76.2%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
60.7%
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
37.3%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify28.0ms (0.6%)

Memory
6.4MiB live, 39.3MiB allocated
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
(neg.f64 x)
cost-diff0
(fma.f64 y x (neg.f64 x))
cost-diff0
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01570
02270
13968
26868
310068
421868
539168
655968
763068
863368
963568
063568
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
(fma.f64 y x (neg.f64 x))
y
x
(neg.f64 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
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
(fma.f64 y x (neg.f64 x))
y
x
(neg.f64 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))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
y
x
(-.f64 y x)

localize39.0ms (0.8%)

Memory
8.3MiB live, 56.1MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 y x (-.f64 y x))
accuracy0.0
(-.f64 y x)
accuracy0.00390625
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
accuracy0.0078125
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
accuracy31.208967324068613
#s(approx (+ x 1) #s(literal 1 binary64))
accuracy0.0
(fma.f64 y x (neg.f64 x))
accuracy0.0
(neg.f64 x)
accuracy25.140599137747508
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
accuracy0.0
(neg.f64 x)
accuracy40.120825013048844
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Samples
30.0ms256×0valid
Compiler

Compiled 129 to 29 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-add: 12.0ms (57.3% of total)
ival-mult: 5.0ms (23.9% of total)
ival-sub: 2.0ms (9.6% of total)
ival-neg: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
9 → 30
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
(fma.f64 y x (neg.f64 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)
(* x (- y 1))
(+ y (* x y))
1
(+ 1 x)
(+ y (* -1 x))
(* x (- (+ y (/ y x)) 1))
(* x y)
(* 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)
(- (* x y) x)
(* y (+ 1 x))
(- y x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ x (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -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) (+ (* y x) (neg 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) (+ (* y x) (neg 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) (+ (* y x) (neg 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) (+ (* y x) (neg 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) (+ (* y x) (neg x)) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) (+ (* y x) (- y x)) (- y x))

simplify146.0ms (3.1%)

Memory
8.7MiB live, 116.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064131
1210131
2551131
31211131
42633131
53779131
64519131
75461131
85988131
96554131
107613131
08022119
Stop Event
iter limit
node limit
Counts
30 → 28
Calls
Call 1
Inputs
y
(+ y (* x (- y 1)))
(* -1 x)
(* x (- y 1))
(+ y (* x y))
1
(+ 1 x)
(+ y (* -1 x))
(* x (- (+ y (/ y x)) 1))
(* x y)
(* 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)
(- (* x y) x)
(* y (+ 1 x))
(- y x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ x (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -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 y #s(literal 1 binary64)) x y)
(* -1 x)
(neg.f64 x)
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(+ y (* x y))
(fma.f64 y x y)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ y (* -1 x))
(-.f64 y x)
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x y)
(*.f64 y x)
(* 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))))
(fma.f64 y x (neg.f64 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 y x y)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(- (* y (+ 1 x)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(- (* x y) x)
(fma.f64 y x (neg.f64 x))
(* y (+ 1 x))
(fma.f64 y x y)
(- y x)
(-.f64 y x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ x (* -1 (/ x y))))
(fma.f64 y x (neg.f64 x))
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 y x (neg.f64 x))
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)

rewrite239.0ms (5%)

Memory
-34.9MiB live, 218.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01560
02260
110358
286058
0860758
Stop Event
iter limit
node limit
iter limit
Counts
9 → 302
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
(fma.f64 y x (neg.f64 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 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 x #s(literal 3 binary64))))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
(*.f64 (/.f64 (fma.f64 y x (neg.f64 x)) x) (/.f64 (fma.f64 y x x) (-.f64 y #s(literal -1 binary64))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) (*.f64 y x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y x x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x x (*.f64 x (*.f64 y x))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (*.f64 y x))))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 x x (*.f64 x (*.f64 y x))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 x)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 x))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 y x x)) (/.f64 (*.f64 x x) (fma.f64 y x x)))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x)) (/.f64 (*.f64 x x) (fma.f64 y x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 x (*.f64 y x)) (-.f64 x (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y x))))
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(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) (-.f64 y x)))))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (fma.f64 y x y))
(fma.f64 y (+.f64 #s(literal 1 binary64) x) (neg.f64 x))
(fma.f64 y #s(literal 1 binary64) (fma.f64 y x (neg.f64 x)))
(fma.f64 y x (-.f64 y 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 (fma.f64 y x (neg.f64 x)))
(fma.f64 x #s(literal -1 binary64) (fma.f64 y x y))
(fma.f64 x y (-.f64 y x))
(-.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (-.f64 y x) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (-.f64 y x) (*.f64 y x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 y x y) (neg.f64 x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 y x y) (neg.f64 x))))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) (-.f64 y x))) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.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 (*.f64 x 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 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))))
(-.f64 (fma.f64 y x y) x)
(-.f64 y (-.f64 x (*.f64 y x)))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) (-.f64 y x))) (neg.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.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)) (neg.f64 (/.f64 (*.f64 x 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 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))))))
(+.f64 (*.f64 y x) (-.f64 y x))
(+.f64 (-.f64 y x) (*.f64 y x))
(+.f64 (neg.f64 x) (fma.f64 y x y))
(+.f64 (fma.f64 y x y) (neg.f64 x))
(+.f64 y (fma.f64 y x (neg.f64 x)))
(*.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x))))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 x x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) y)
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 y x))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) y)
(fma.f64 (neg.f64 x) #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) y (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) y)
(-.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(-.f64 y x)
(+.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval88.0ms (1.8%)

Memory
11.0MiB live, 86.3MiB allocated
Compiler

Compiled 9 078 to 1 052 computations (88.4% saved)

prune5.0ms (0.1%)

Memory
20.0MiB live, 20.0MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3281329
Fresh000
Picked134
Done000
Total3294333
Accuracy
100.0%
Counts
333 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.2%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
60.7%
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
37.3%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
63.8%
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify33.0ms (0.7%)

Memory
-37.4MiB live, 8.4MiB allocated
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
11417
22917
35517
410317
524417
644417
754517
858417
058417
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

localize16.0ms (0.3%)

Memory
27.9MiB live, 27.9MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 y x y)
accuracy23.192685240213308
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
Samples
11.0ms256×0valid
Compiler

Compiled 34 to 15 computations (55.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 2.0ms (34.6% of total)
ival-mult: 2.0ms (34.6% of total)
ival-sub: 1.0ms (17.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
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
1.0ms
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))

simplify197.0ms (4.1%)

Memory
-19.3MiB live, 90.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04183
113183
235883
3100383
4244483
5366583
6436983
7511183
8533283
9548183
10635683
0901072
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))
(fma.f64 x y (neg.f64 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))))
(fma.f64 x y (neg.f64 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)

rewrite226.0ms (4.7%)

Memory
-6.7MiB live, 235.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
0815
14615
242215
3674815
0847415
Stop Event
iter limit
node limit
iter limit
Counts
2 → 71
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 (-.f64 y (*.f64 (*.f64 x x) y))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 x y))))
(*.f64 (pow.f64 (-.f64 (*.f64 x y) y) #s(literal -1 binary64)) (*.f64 y (fma.f64 (*.f64 x x) y (neg.f64 y))))
(*.f64 (pow.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y)))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y y))
(*.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 x x) y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (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)))) (/.f64 #s(literal 1 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))) (pow.f64 (-.f64 (*.f64 x y) y) #s(literal -1 binary64)))
(*.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 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y)))) (*.f64 (fma.f64 x y y) (pow.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y)))) #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x y y) (/.f64 (-.f64 (*.f64 x y) y) (-.f64 (*.f64 x y) y)))
(*.f64 (fma.f64 x y y) (*.f64 (-.f64 (*.f64 x y) y) (pow.f64 (-.f64 (*.f64 x y) y) #s(literal -1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 x y) y) #s(literal -1 binary64))) (fma.f64 y y (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 (*.f64 x y) y) #s(literal -1 binary64))) (+.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 (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (*.f64 x y) #s(literal 9 binary64))) (pow.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y)))) #s(literal -1 binary64))) (-.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 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) y)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) y))) (*.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x y) y))) (*.f64 y (/.f64 y (-.f64 (*.f64 x y) 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 (-.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))) (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) y)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) y)) (fma.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x y) y))) (*.f64 y (/.f64 y (-.f64 (*.f64 x y) 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 (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 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 x y) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 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 (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 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 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (*.f64 x y) #s(literal 9 binary64))) #s(literal 1 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 (*.f64 (*.f64 y (fma.f64 (*.f64 x x) y (neg.f64 y))) #s(literal 1 binary64)) (-.f64 (*.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))) #s(literal 1 binary64)) (*.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))) (*.f64 (-.f64 (*.f64 x y) y) (-.f64 (*.f64 x y) y)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 x y) y) (fma.f64 y y (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 x y) y) (+.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 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y)))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (*.f64 y (-.f64 y (*.f64 (*.f64 x x) y))) (-.f64 y (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 x y)) (*.f64 y (-.f64 y (*.f64 (*.f64 x x) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (*.f64 x y) #s(literal 9 binary64))) (*.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y)))) (-.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 (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 (*.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))) (neg.f64 (*.f64 y (/.f64 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) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x y) y)))))
(fma.f64 (*.f64 (*.f64 x x) y) (/.f64 y (-.f64 (*.f64 x y) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x y) y)))))
(fma.f64 (*.f64 x x) (*.f64 y (/.f64 y (-.f64 (*.f64 x y) y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x y) y)))))
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 x (-.f64 (*.f64 x y) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x y) y)))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 (*.f64 x y) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x y) y)))))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x y) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x y) y)))))
(fma.f64 (*.f64 x y) (/.f64 (*.f64 x y) (-.f64 (*.f64 x y) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x y) y)))))
(fma.f64 x (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 x y) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x y) y)))))
(fma.f64 x y y)
(fma.f64 y (/.f64 (*.f64 (*.f64 x x) y) (-.f64 (*.f64 x y) y)) (neg.f64 (*.f64 y (/.f64 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))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y y))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 x y) y)))))
(+.f64 (*.f64 x y) y)
(+.f64 y (*.f64 x y))

eval8.0ms (0.2%)

Memory
11.4MiB live, 11.4MiB allocated
Compiler

Compiled 2 306 to 287 computations (87.6% saved)

prune3.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New75176
Fresh000
Picked011
Done033
Total75580
Accuracy
100.0%
Counts
80 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.2%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
60.7%
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
37.3%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
63.8%
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
25.5%
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
Compiler

Compiled 61 to 41 computations (32.8% saved)

simplify17.0ms (0.3%)

Memory
15.3MiB live, 15.3MiB allocated
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
11631
23131
35831
410631
524831
644831
754731
858631
058628
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

localize29.0ms (0.6%)

Memory
-4.9MiB live, 33.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy23.192685240213308
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
accuracy31.651730502840298
#s(approx (+ (* y x) y) (*.f64 x y))
Samples
24.0ms256×0valid
Compiler

Compiled 50 to 18 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 4.0ms (43.4% of total)
ival-mult: 4.0ms (43.4% of total)
ival-sub: 1.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
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
1.0ms
y
@-inf
((+ (* y x) (- y x)) (+ (* y x) y) (* x y))
0.0ms
x
@-inf
((+ (* y x) (- y x)) (+ (* y x) y) (* x y))
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))
0.0ms
x
@0
((+ (* y x) (- y x)) (+ (* y x) y) (* x y))

simplify211.0ms (4.4%)

Memory
-7.2MiB live, 111.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04183
113183
235883
3100383
4244483
5366583
6436983
7511183
8533283
9548183
10635683
0901072
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))
(fma.f64 x y (neg.f64 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))))
(fma.f64 x y (neg.f64 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)

rewrite182.0ms (3.8%)

Memory
30.1MiB live, 216.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
01029
14829
242429
3675229
0847826
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)

eval4.0ms (0.1%)

Memory
-33.8MiB live, 3.7MiB allocated
Compiler

Compiled 156 to 28 computations (82.1% saved)

prune3.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
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
76.2%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
60.7%
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
37.3%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
63.8%
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
25.5%
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
Compiler

Compiled 135 to 69 computations (48.9% saved)

regimes9.0ms (0.2%)

Memory
25.1MiB live, 25.1MiB allocated
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))
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 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%1x
100.0%1y
100.0%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes13.0ms (0.3%)

Memory
-26.9MiB live, 25.1MiB allocated
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))
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
Outputs
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
Calls

3 calls:

8.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
98.9%3y
89.4%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory
13.9MiB live, 13.8MiB allocated
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))
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
Outputs
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
88.3%3y
90.8%3x
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes8.0ms (0.2%)

Memory
-9.3MiB live, 27.7MiB allocated
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:

4.0ms
x
2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms
y
Results
AccuracySegmentsBranch
88.3%3y
63.8%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
70.4%4x
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
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
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
49.9%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
39.6%2x
59.6%3y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory
-27.9MiB live, 10.7MiB allocated
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:

3.0ms
y
1.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms
x
Results
AccuracySegmentsBranch
37.3%1x
37.3%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
37.3%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch48.0ms (1%)

Memory
6.1MiB live, 45.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
35.0ms
1.8476440726203215e-18
2.2620698681018274e-13
11.0ms
-1.7823485855138799
-3.384794716098537e-9
Samples
35.0ms288×0valid
Compiler

Compiled 406 to 353 computations (13.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 26.0ms (89% of total)
ival-add: 2.0ms (6.8% of total)
ival-sub: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.4%)

Memory
19.3MiB live, 19.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
1.8537279757795364e-34
5.156126720970749e-34
12.0ms
-1.4093867950977207e-46
-1.9134192189231563e-57
Samples
9.0ms240×0valid
Compiler

Compiled 385 to 281 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (45% of total)
ival-sub: 1.0ms (22.5% of total)
ival-add: 1.0ms (22.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch45.0ms (0.9%)

Memory
-15.2MiB live, 30.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.3877443645697932e-136
6.120261513489261e-129
32.0ms
-1.0903023710187812e-44
-8.942615519375627e-46
Samples
9.0ms240×0valid
Compiler

Compiled 340 to 266 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (43.1% of total)
ival-sub: 1.0ms (21.5% of total)
ival-add: 1.0ms (21.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.5%)

Memory
-7.0MiB live, 30.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
0.0005701992136163218
0.0015059668295491328
15.0ms
-7.585064856808372e-10
-2.2258594110048344e-15
Samples
13.0ms224×0valid
Compiler

Compiled 388 to 277 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 5.0ms (62.8% of total)
ival-mult: 2.0ms (25.1% of total)
ival-sub: 1.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify159.0ms (3.3%)

Memory
8.0MiB live, 46.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048148
175148
295148
3120148
4196148
5409148
6726148
72343148
85748148
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x))) (if (<=.f64 x #s(literal 4456584141427369/19807040628566084398385987584 binary64)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))))
(if (<=.f64 x #s(literal -8340733500149729/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x))) (if (<=.f64 x #s(literal 496910556692507/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))))
(if (<=.f64 y #s(literal -3013008832985607/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 7804371375789981/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 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 -7253554917687775/9671406556917033397649408 binary64)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y))) (if (<=.f64 y #s(literal 3458764513820541/2305843009213693952 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 x #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x))) (if (<=.f64 x #s(literal 4456584141427369/19807040628566084398385987584 binary64)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 4456584141427369/19807040628566084398385987584 binary64)))) #s(approx (+ (* y x) (- y x)) (fma.f64 y x (neg.f64 x))) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))
(if (<=.f64 x #s(literal -8340733500149729/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x))) (if (<=.f64 x #s(literal 496910556692507/1461501637330902918203684832716283019655932542976 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))))
(if (or (<=.f64 x #s(literal -8340733500149729/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (not (<=.f64 x #s(literal 496910556692507/1461501637330902918203684832716283019655932542976 binary64)))) #s(approx (+ (* y x) (- y x)) (fma.f64 y x (neg.f64 x))) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)))
(if (<=.f64 y #s(literal -3013008832985607/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 7804371375789981/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 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 -3013008832985607/401734511064747568885490523085290650630550748445698208825344 binary64)) (not (<=.f64 y #s(literal 7804371375789981/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 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 -7253554917687775/9671406556917033397649408 binary64)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y))) (if (<=.f64 y #s(literal 3458764513820541/2305843009213693952 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 -7253554917687775/9671406556917033397649408 binary64)) (not (<=.f64 y #s(literal 3458764513820541/2305843009213693952 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))

soundness1.4s (29.1%)

Memory
-35.9MiB live, 505.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064131
1210131
2551131
31211131
42633131
53779131
64519131
75461131
85988131
96554131
107613131
08022119
04186
114086
237986
3103386
4256586
5388286
6464986
7559386
8612086
9668486
10772786
0813676
0615
0915
13815
226915
3336415
0852513
04183
113183
235883
3100383
4244483
5366583
6436983
7511183
8533283
9548183
10635683
0901072
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 233 to 116 computations (50.2% saved)

preprocess60.0ms (1.2%)

Memory
17.1MiB live, 100.7MiB allocated
Compiler

Compiled 310 to 114 computations (63.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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