Data.Colour.SRGB:transferFunction from colour-2.3.3

Time bar (total: 4.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×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)

sample566.0ms (12.7%)

Memory
13.0MiB live, 826.4MiB allocated
Samples
354.0ms8 254×0valid
0.0ms2×1valid
Precisions
Click to see histograms. Total time spent on operations: 174.0ms
ival-mult: 60.0ms (34.5% of total)
ival-add: 52.0ms (29.9% of total)
ival-sub: 47.0ms (27% of total)
ival-true: 6.0ms (3.5% of total)
exact: 5.0ms (2.9% of total)
ival-assert: 3.0ms (1.7% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain74.0ms (1.7%)

Memory
-11.8MiB live, 104.5MiB 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: 17.0ms
ival-add: 11.0ms (64.3% of total)
ival-mult: 3.0ms (17.5% of total)
ival-sub: 2.0ms (11.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess54.0ms (1.2%)

Memory
33.5MiB live, 70.6MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB 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)

simplify23.0ms (0.5%)

Memory
-46.4MiB live, 16.2MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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

localize16.0ms (0.4%)

Memory
28.2MiB live, 28.2MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.0078125
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
accuracy0.01953125
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
Samples
11.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (43.4% of total)
ival-sub: 1.0ms (21.7% of total)
ival-add: 1.0ms (21.7% 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
-32.0MiB live, 7.0MiB 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
2.0ms
x
@-inf
((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
1.0ms
y
@inf
((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
0.0ms
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
y
@0
((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))

simplify130.0ms (2.9%)

Memory
36.1MiB live, 112.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04186
114086
237986
3103386
4256586
5388286
6464986
7559386
8612086
9668486
10772786
0813676
Stop Event
1×iter limit
1×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)

rewrite207.0ms (4.6%)

Memory
-16.9MiB live, 215.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13815
226915
3336415
0852513
Stop Event
1×iter limit
1×node limit
1×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 (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))

eval70.0ms (1.6%)

Memory
20.7MiB live, 58.7MiB allocated
Compiler

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

prune28.0ms (0.6%)

Memory
-20.7MiB live, 18.0MiB 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))
▶73.9%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
▶63.5%
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
▶38.4%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify29.0ms (0.7%)

Memory
-11.1MiB live, 33.2MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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)

localize35.0ms (0.8%)

Memory
3.6MiB live, 41.7MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 y x (-.f64 y x))
accuracy0.0
(-.f64 y x)
accuracy0.0078125
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
accuracy0.01953125
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
accuracy32.812601441580654
#s(approx (+ x 1) #s(literal 1 binary64))
accuracy0.0
(fma.f64 y x (neg.f64 x))
accuracy0.0
(neg.f64 x)
accuracy23.36093248019624
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
accuracy0.0
(neg.f64 x)
accuracy39.4458550616616
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Samples
20.0ms256×0valid
Compiler

Compiled 129 to 29 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 3.0ms (28.4% of total)
ival-mult: 3.0ms (28.4% of total)
ival-sub: 2.0ms (19% of total)
ival-neg: 1.0ms (9.5% 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
6.6MiB live, 6.6MiB 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))

simplify150.0ms (3.4%)

Memory
34.4MiB live, 106.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064131
1210131
2551131
31211131
42633131
53779131
64519131
75461131
85988131
96554131
107613131
08022119
Stop Event
1×iter limit
1×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)

rewrite369.0ms (8.3%)

Memory
-52.6MiB live, 206.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01560
02260
110358
286058
0860758
Stop Event
1×iter limit
1×node limit
1×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))

eval64.0ms (1.4%)

Memory
10.9MiB live, 83.7MiB allocated
Compiler

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

prune6.0ms (0.1%)

Memory
23.9MiB live, 23.9MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3281329
Fresh000
Picked044
Done000
Total3285333
Accuracy
100.0%
Counts
333 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 y x (-.f64 y x))
✓73.9%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓63.5%
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
✓38.4%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
▶63.7%
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
Compiler

Compiled 50 to 36 computations (28% saved)

simplify22.0ms (0.5%)

Memory
-33.9MiB live, 14.9MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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

localize18.0ms (0.4%)

Memory
2.1MiB live, 41.3MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 y x y)
accuracy23.227930091720896
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
Samples
14.0ms256×0valid
Compiler

Compiled 34 to 15 computations (55.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (46.8% of total)
ival-add: 2.0ms (31.2% of total)
ival-sub: 1.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.9MiB live, 3.8MiB 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
y
@0
((+ (* y x) (- y x)) (+ (* y x) y))
0.0ms
x
@inf
((+ (* y x) (- y x)) (+ (* y x) y))

simplify195.0ms (4.4%)

Memory
-0.2MiB live, 156.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04183
113183
235883
3100383
4244483
5366583
6436983
7511183
8533283
9548183
10635683
0901072
Stop Event
1×iter limit
1×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)

rewrite187.0ms (4.2%)

Memory
17.8MiB live, 176.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
0815
14615
242215
3674815
0847415
Stop Event
1×iter limit
1×node limit
1×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
15.8MiB live, 15.8MiB allocated
Compiler

Compiled 2 306 to 287 computations (87.6% saved)

prune16.0ms (0.4%)

Memory
-30.3MiB live, 7.5MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New75176
Fresh000
Picked011
Done044
Total75681
Accuracy
100.0%
Counts
81 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 y x (-.f64 y x))
✓73.9%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓63.5%
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
✓38.4%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓63.7%
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
▶27.5%
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
Compiler

Compiled 67 to 45 computations (32.8% saved)

simplify17.0ms (0.4%)

Memory
20.3MiB live, 20.3MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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

localize34.0ms (0.8%)

Memory
-9.7MiB live, 27.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy23.227930091720896
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
accuracy30.671437374925514
#s(approx (+ (* y x) y) (*.f64 x y))
Samples
29.0ms256×0valid
Compiler

Compiled 50 to 18 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 17.0ms (75.5% of total)
ival-sub: 3.0ms (13.3% of total)
ival-add: 2.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB 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))

simplify204.0ms (4.6%)

Memory
-8.5MiB live, 142.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04183
113183
235883
3100383
4244483
5366583
6436983
7511183
8533283
9548183
10635683
0901072
Stop Event
1×iter limit
1×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)

rewrite237.0ms (5.3%)

Memory
0.7MiB live, 245.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
01029
14829
242429
3675229
0847826
Stop Event
1×iter limit
1×node limit
1×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
2.9MiB live, 2.9MiB allocated
Compiler

Compiled 156 to 28 computations (82.1% saved)

prune4.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New10010
Fresh000
Picked011
Done055
Total10616
Accuracy
100.0%
Counts
16 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 y x (-.f64 y x))
✓73.9%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓63.5%
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
✓38.4%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓63.7%
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
✓27.5%
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
Compiler

Compiled 141 to 73 computations (48.2% saved)

regimes12.0ms (0.3%)

Memory
-12.5MiB live, 23.8MiB 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:

5.0ms
x
3.0ms
y
3.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
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)

regimes7.0ms (0.2%)

Memory
21.1MiB live, 21.1MiB 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 (+ (* 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:

2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
98.5%3x
99.1%3y
89.2%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB 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 (+ (* y x) (- y x)) (fma.f64 y x y))
#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
89.2%3x
91.4%3y
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes2.0ms (0%)

Memory
4.4MiB live, 4.4MiB 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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
91.4%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
-23.7MiB live, 14.2MiB 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
x
1.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms
y
Results
AccuracySegmentsBranch
42.7%3x
52.7%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
62.7%3y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB 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:

1.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
38.4%1x
38.4%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
38.4%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch60.0ms (1.3%)

Memory
-19.6MiB live, 40.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
45.0ms
7.48113356568156e-27
1.036025802900867e-21
12.0ms
-1380.398528453561
-479.9091302146875
Samples
9.0ms224×0valid
Compiler

Compiled 304 to 249 computations (18.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (24.7% of total)
ival-add: 1.0ms (24.7% of total)
ival-mult: 1.0ms (24.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch48.0ms (1.1%)

Memory
-6.9MiB live, 30.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
7.48113356568156e-27
1.036025802900867e-21
11.0ms
-2.0758911241095972e-30
-2.742521162318832e-35
Samples
10.0ms256×0valid
Compiler

Compiled 460 to 335 computations (27.2% 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 (21.6% of total)
ival-add: 1.0ms (21.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
7.48113356568156e-27
1.036025802900867e-21
1.0ms
-2.0758911241095972e-30
-2.742521162318832e-35
Compiler

Compiled 406 to 317 computations (21.9% saved)

bsearch40.0ms (0.9%)

Memory
7.7MiB live, 43.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
28.0ms
0.02223026499918182
2.9426947902110046
10.0ms
-479.9091302146875
-0.04606337015603809
Samples
29.0ms240×0valid
Compiler

Compiled 415 to 296 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-add: 21.0ms (88.3% of total)
ival-mult: 2.0ms (8.4% of total)
ival-sub: 1.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify96.0ms (2.2%)

Memory
-14.2MiB live, 69.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043147
168147
288147
3113147
4189147
5402147
6738147
72361147
85774147
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 y #s(literal -480 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 5423250222802457/5316911983139663491615228241121378304 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 -178405961588245/1427247692705959881058285969449495136382746624 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 3743106036130323/85070591730234615865843651857942052864 binary64)) #s(approx (- (* (+ x 1) 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 -178405961588245/1427247692705959881058285969449495136382746624 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 3743106036130323/85070591730234615865843651857942052864 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 -480 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 5423250222802457/5316911983139663491615228241121378304 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 -480 binary64)) (not (<=.f64 y #s(literal 5423250222802457/5316911983139663491615228241121378304 binary64)))) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))
(if (<=.f64 y #s(literal -178405961588245/1427247692705959881058285969449495136382746624 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 3743106036130323/85070591730234615865843651857942052864 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x))) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y))))
(if (or (<=.f64 y #s(literal -178405961588245/1427247692705959881058285969449495136382746624 binary64)) (not (<=.f64 y #s(literal 3743106036130323/85070591730234615865843651857942052864 binary64)))) #s(approx (- (* (+ x 1) 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 -178405961588245/1427247692705959881058285969449495136382746624 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 3743106036130323/85070591730234615865843651857942052864 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 -178405961588245/1427247692705959881058285969449495136382746624 binary64)) (not (<=.f64 y #s(literal 3743106036130323/85070591730234615865843651857942052864 binary64)))) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) #s(approx (- (* (+ x 1) 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 (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (*.f64 x y))) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

soundness1.3s (29.6%)

Memory
15.7MiB live, 442.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 244 to 116 computations (52.5% saved)

preprocess82.0ms (1.8%)

Memory
14.7MiB live, 66.5MiB allocated
Compiler

Compiled 308 to 100 computations (67.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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