Data.Colour.SRGB:transferFunction from colour-2.3.3

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample758.0ms (15%)

Memory
15.8MiB live, 597.4MiB allocated
Samples
433.0ms8 255×0valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 180.0ms
ival-add: 77.0ms (42.7% of total)
ival-mult: 54.0ms (30% of total)
ival-sub: 36.0ms (20% of total)
ival-true: 6.0ms (3.3% of total)
exact: 4.0ms (2.2% of total)
ival-assert: 3.0ms (1.7% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain364.0ms (7.2%)

Memory
-107.2MiB live, 149.8MiB 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
23.0ms512×0valid
Compiler

Compiled 83 to 40 computations (51.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 3.0ms (30.8% of total)
ival-mult: 3.0ms (30.8% of total)
ival-sub: 2.0ms (20.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess52.0ms (1%)

Memory
0.9MiB live, 86.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
13939
212337
350935
4102335
5133535
6137635
7138035
067
097
1157
2277
3587
41097
51917
63547
75627
86367
96417
06416
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)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune2.0ms (0%)

Memory
-37.4MiB live, 1.3MiB 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)

simplify19.0ms (0.4%)

Memory
31.3MiB live, 31.3MiB 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
519118
635418
756218
863618
964118
064116
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

localize39.0ms (0.8%)

Memory
-7.7MiB live, 30.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.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
33.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 23.0ms (87.4% of total)
ival-sub: 1.0ms (3.8% of total)
ival-add: 1.0ms (3.8% 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
7.3MiB live, 7.3MiB 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))
1.0ms
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
x
@inf
((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
0.0ms
y
@0
((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))

simplify165.0ms (3.3%)

Memory
-20.4MiB live, 98.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04186
114086
236386
397786
4246086
5360386
6436386
7530486
8583086
9639486
10743786
0810676
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)))
(-.f64 (fma.f64 y x y) x)
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))
(-.f64 (fma.f64 y x y) x)
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))))))
(-.f64 (fma.f64 y x y) x)
(* y (+ 1 x))
(fma.f64 y x y)
(* -1 x)
(neg.f64 x)
(- (* y (+ 1 x)) x)
(-.f64 (fma.f64 y x y) x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(-.f64 (fma.f64 y x y) x)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(-.f64 (fma.f64 y x y) x)

rewrite191.0ms (3.8%)

Memory
36.0MiB live, 191.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13815
226915
3336215
0849513
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))
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(/.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))

eval109.0ms (2.2%)

Memory
-19.3MiB live, 100.7MiB allocated
Compiler

Compiled 7 658 to 1 056 computations (86.2% saved)

prune23.0ms (0.5%)

Memory
-15.7MiB live, 21.2MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3305335
Fresh000
Picked101
Done000
Total3315336
Accuracy
100.0%
Counts
336 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y x (-.f64 y x))
76.3%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
64.5%
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
100.0%
(+.f64 y (fma.f64 y x (neg.f64 x)))
41.0%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Compiler

Compiled 86 to 66 computations (23.3% saved)

simplify29.0ms (0.6%)

Memory
18.7MiB live, 55.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 y x (neg.f64 x))
cost-diff128
(+.f64 y (fma.f64 y x (neg.f64 x)))
cost-diff0
#s(approx (+ x 1) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
cost-diff0
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (* (+ x 1) y) (*.f64 y x))
cost-diff0
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
cost-diff0
(-.f64 y x)
cost-diff0
(fma.f64 y x (-.f64 y x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01889
02788
14887
28287
312287
425487
543387
661287
768387
869387
969587
069585
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 y x (-.f64 y x))
y
x
(-.f64 y x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
x
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (* (+ x 1) y) (*.f64 y x))
(*.f64 y x)
y
x
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
#s(approx (+ x 1) #s(literal 1 binary64))
#s(literal 1 binary64)
y
x
(+.f64 y (fma.f64 y x (neg.f64 x)))
y
(fma.f64 y x (neg.f64 x))
x
(neg.f64 x)
Outputs
(fma.f64 y x (-.f64 y x))
(fma.f64 x y (-.f64 y x))
y
x
(-.f64 y x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
x
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)
#s(approx (* (+ x 1) y) (*.f64 y x))
#s(approx (* (+ x 1) y) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y (neg.f64 x))
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
#s(approx (+ x 1) #s(literal 1 binary64))
#s(literal 1 binary64)
y
x
(+.f64 y (fma.f64 y x (neg.f64 x)))
(fma.f64 x y (-.f64 y x))
y
(fma.f64 y x (neg.f64 x))
(fma.f64 x y (neg.f64 x))
x
(neg.f64 x)

localize39.0ms (0.8%)

Memory
-8.2MiB live, 79.8MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 y x (neg.f64 x))
accuracy0
(neg.f64 x)
accuracy0.01171875
(+.f64 y (fma.f64 y x (neg.f64 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)
accuracy32.50951548976335
#s(approx (+ x 1) #s(literal 1 binary64))
accuracy0
(*.f64 y x)
accuracy0.00390625
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
accuracy30.17177029213004
#s(approx (* (+ x 1) y) (*.f64 y x))
accuracy0
(neg.f64 x)
accuracy37.733141922091974
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
accuracy0
(-.f64 y x)
accuracy0.00390625
(fma.f64 y x (-.f64 y x))
Samples
27.0ms256×0valid
Compiler

Compiled 166 to 33 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 4.0ms (35% of total)
ival-mult: 3.0ms (26.3% of total)
ival-sub: 2.0ms (17.5% of total)
ival-neg: 1.0ms (8.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
12 → 30
Calls
Call 1
Inputs
(fma.f64 y x (-.f64 y x))
(-.f64 y x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (* (+ x 1) y) (*.f64 y x))
(*.f64 y x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
#s(approx (+ x 1) #s(literal 1 binary64))
(+.f64 y (fma.f64 y x (neg.f64 x)))
(fma.f64 y x (neg.f64 x))
Outputs
y
(+ y (* x (- y 1)))
(+ y (* -1 x))
(* -1 x)
(+ y (* x y))
(* x y)
1
(+ 1 x)
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (/ y x) 1))
(* x (+ y (/ y x)))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(- (* y (+ 1 x)) x)
(- y x)
(* y (+ 1 x))
(- (* x y) x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
Calls

6 calls:

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

simplify386.0ms (7.7%)

Memory
-14.3MiB live, 108.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064131
1210131
2537131
31150131
42458131
53506131
64259131
75200131
85726131
96290131
107349131
08018119
Stop Event
iter limit
node limit
Counts
30 → 28
Calls
Call 1
Inputs
y
(+ y (* x (- y 1)))
(+ y (* -1 x))
(* -1 x)
(+ y (* x y))
(* x y)
1
(+ 1 x)
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (/ y x) 1))
(* x (+ y (/ y x)))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(- (* y (+ 1 x)) x)
(- y x)
(* y (+ 1 x))
(- (* x y) x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
Outputs
y
(+ y (* x (- y 1)))
(fma.f64 x y (-.f64 y x))
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(+ y (* x y))
(fma.f64 x y y)
(* x y)
(*.f64 x y)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* x (- y 1))
(fma.f64 x y (neg.f64 x))
(* x (- (+ y (/ y x)) 1))
(fma.f64 x y (-.f64 y x))
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (+ y (/ y x)))
(fma.f64 x y y)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 x y (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 x y (-.f64 y x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(- (* y (+ 1 x)) x)
(fma.f64 x y (-.f64 y x))
(- y x)
(-.f64 y x)
(* y (+ 1 x))
(fma.f64 x y y)
(- (* x y) x)
(fma.f64 x y (neg.f64 x))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 x y (-.f64 y x))
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ x (* -1 (/ x y))))
(fma.f64 x y (neg.f64 x))
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 x y y)
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(fma.f64 x y (-.f64 y x))
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(fma.f64 x y (-.f64 y x))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x y (neg.f64 x))

rewrite143.0ms (2.8%)

Memory
18.9MiB live, 214.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01877
02776
113275
2114872
0958169
Stop Event
iter limit
node limit
iter limit
Counts
12 → 630
Calls
Call 1
Inputs
(fma.f64 y x (-.f64 y x))
(-.f64 y x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (* (+ x 1) y) (*.f64 y x))
(*.f64 y x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
#s(approx (+ x 1) #s(literal 1 binary64))
(+.f64 y (fma.f64 y x (neg.f64 x)))
(fma.f64 y x (neg.f64 x))
Outputs
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))))
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (-.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (pow.f64 (fma.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (pow.f64 (fma.f64 (-.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) (pow.f64 (fma.f64 (fma.f64 x y x) (-.f64 (fma.f64 x y x) y) (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y x) y)))
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) #s(literal -1 binary64)) (fma.f64 y y (pow.f64 (fma.f64 x y x) #s(literal 2 binary64))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (-.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x y x) (-.f64 (fma.f64 x y x) y) (*.f64 y y)))))
(*.f64 (neg.f64 (fma.f64 y y (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y (fma.f64 x y x))))
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(*.f64 #s(literal -1 binary64) (fma.f64 x y x))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x y x))
(*.f64 x (neg.f64 (-.f64 y #s(literal -1 binary64))))
(*.f64 x (neg.f64 (+.f64 y #s(literal -1 binary64))))
(*.f64 x (neg.f64 (+.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 y #s(literal -1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(pow.f64 (pow.f64 (fma.f64 x y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64)))) (*.f64 x (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x y x)) (/.f64 (*.f64 x x) (fma.f64 x y x)))) (fma.f64 x y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x y x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64)))) (*.f64 x (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64)))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x y x)) (/.f64 (*.f64 x x) (fma.f64 x y x)) (*.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (fma.f64 x y x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x y x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x y x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y x)) (*.f64 (fma.f64 x y x) (*.f64 x x))) (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)))
(/.f64 (pow.f64 (fma.f64 x y x) #s(literal 2 binary64)) (fma.f64 x y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 x y x) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x y x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) x))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x y x) #s(literal -1 binary64)))
(neg.f64 (fma.f64 x y x))
(fma.f64 (/.f64 (*.f64 (*.f64 x y) x) x) (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x x) (fma.f64 x y x)))
(fma.f64 (/.f64 (*.f64 (*.f64 x y) y) x) (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x x) (fma.f64 x y x)))
(fma.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 x x) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x x) (fma.f64 x y x)))
(fma.f64 (/.f64 (*.f64 x y) x) (/.f64 (*.f64 x y) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x x) (fma.f64 x y x)))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 y (*.f64 x y)) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x x) (fma.f64 x y x)))
(fma.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 x y) x) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x x) (fma.f64 x y x)))
(fma.f64 (neg.f64 y) x x)
(fma.f64 #s(literal -1 binary64) (*.f64 x y) x)
(fma.f64 #s(literal -1 binary64) x (*.f64 x y))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) (*.f64 x y))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 x y))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 x y x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (fma.f64 x y x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(fma.f64 x (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x x) (fma.f64 x y x)))
(fma.f64 x (neg.f64 y) x)
(fma.f64 x #s(literal -1 binary64) (*.f64 x y))
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(fma.f64 x y x)
(fma.f64 y x x)
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 x y x)) (*.f64 x (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64)))))
(-.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (fma.f64 x y x)))
(-.f64 #s(literal 0 binary64) (fma.f64 x y x))
(-.f64 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(+.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (fma.f64 x y x)))
(+.f64 #s(literal 0 binary64) (fma.f64 x y x))
(+.f64 (*.f64 x y) x)
(+.f64 x (*.f64 x y))

eval98.0ms (1.9%)

Memory
9.3MiB live, 84.5MiB allocated
Compiler

Compiled 11 803 to 1 248 computations (89.4% saved)

prune12.0ms (0.2%)

Memory
-14.7MiB live, 26.2MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4633466
Fresh000
Picked235
Done000
Total4656471
Accuracy
100.0%
Counts
471 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
76.3%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
64.5%
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
41.0%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
2.7%
#s(approx (- (* (+ x 1) y) x) x)
60.6%
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
Compiler

Compiled 57 to 43 computations (24.6% saved)

simplify22.0ms (0.4%)

Memory
-10.0MiB live, 25.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01540
02038
14138
26138
38238
414638
529538
644538
751138
851538
051538
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
(fma.f64 x y y)
x
y
#s(approx (- (* (+ x 1) y) x) x)
x
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
Outputs
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
(fma.f64 x y y)
x
y
#s(approx (- (* (+ x 1) y) x) x)
#s(approx (+ (* y x) (- y x)) x)
x
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(fma.f64 x y (-.f64 y x))
x
(+.f64 y #s(literal -1 binary64))
(-.f64 y #s(literal 1 binary64))
y
#s(literal -1 binary64)

localize37.0ms (0.7%)

Memory
31.7MiB live, 64.7MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal -1 binary64))
accuracy0.0078125
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
accuracy62.26999851758392
#s(approx (- (* (+ x 1) y) x) x)
accuracy0
(fma.f64 x y y)
accuracy25.18673583116781
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
Samples
28.0ms256×0valid
Compiler

Compiled 77 to 32 computations (58.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-add: 6.0ms (39% of total)
ival-mult: 6.0ms (39% of total)
ival-sub: 2.0ms (13% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.4%)

Memory
-31.0MiB live, 7.0MiB allocated
Counts
5 → 23
Calls
Call 1
Inputs
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
(fma.f64 x y y)
#s(approx (- (* (+ x 1) y) x) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y #s(literal -1 binary64))
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 (+ (* -1 (- y 1)) (* -1 (/ y x)))))
(* -1 x)
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(+ (* -1 x) (* y (+ 1 x)))
-1
(- y 1)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (- 1 (/ 1 y)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (- (/ 1 y) 1)))
Calls

6 calls:

TimeVariablePointExpression
16.0ms
y
@-inf
((+ (* y x) (- y x)) (+ (* x y) y) (- (* (+ x 1) y) x) (+ (* x (+ y -1)) y) (+ y -1))
1.0ms
x
@-inf
((+ (* y x) (- y x)) (+ (* x y) y) (- (* (+ x 1) y) x) (+ (* x (+ y -1)) y) (+ y -1))
1.0ms
y
@inf
((+ (* y x) (- y x)) (+ (* x y) y) (- (* (+ x 1) y) x) (+ (* x (+ y -1)) y) (+ y -1))
0.0ms
x
@0
((+ (* y x) (- y x)) (+ (* x y) y) (- (* (+ x 1) y) x) (+ (* x (+ y -1)) y) (+ y -1))
0.0ms
y
@0
((+ (* y x) (- y x)) (+ (* x y) y) (- (* (+ x 1) y) x) (+ (* x (+ y -1)) y) (+ y -1))

simplify163.0ms (3.2%)

Memory
8.5MiB live, 134.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056114
1184114
2540114
31296114
43042114
54460114
65772114
76374114
87003114
97612114
08056100
Stop Event
iter limit
node limit
Counts
23 → 22
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 (+ (* -1 (- y 1)) (* -1 (/ y x)))))
(* -1 x)
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(+ (* -1 x) (* y (+ 1 x)))
-1
(- y 1)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (- 1 (/ 1 y)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (- (/ 1 y) 1)))
Outputs
y
(+ y (* x (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(+ y (* x y))
(fma.f64 x y y)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x y)
(*.f64 x y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* -1 (* x (+ 1 (* -1 y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ y x)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x 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)
(+ (* -1 x) (* y (+ 1 x)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* -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)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* y (- (/ 1 y) 1)))
(-.f64 y #s(literal 1 binary64))

rewrite258.0ms (5.1%)

Memory
-13.0MiB live, 305.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01534
02032
112032
296632
0857032
Stop Event
iter limit
node limit
iter limit
Counts
5 → 265
Calls
Call 1
Inputs
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
(fma.f64 x y y)
#s(approx (- (* (+ x 1) y) x) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(+.f64 y #s(literal -1 binary64))
Outputs
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) y) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (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 (*.f64 y (-.f64 y (*.f64 (*.f64 x x) y))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 x y))))
(*.f64 (neg.f64 (*.f64 y (*.f64 y (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.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 (*.f64 y (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x y (neg.f64 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))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y y) (*.f64 x (-.f64 x #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 (+.f64 #s(literal 1 binary64) x) y)
(*.f64 #s(literal 1 binary64) (fma.f64 x y y))
(*.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 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 y)))) (*.f64 (/.f64 (*.f64 y y) (fma.f64 x y (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 x y (neg.f64 y))))) (+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 x y (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (fma.f64 x y (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 y))) (fma.f64 (/.f64 (*.f64 y y) (fma.f64 x y (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 x y (neg.f64 y))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 x y (neg.f64 y)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(/.f64 (neg.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 (neg.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(/.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))))
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(/.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 y (fma.f64 x x #s(literal -1 binary64)))))) (neg.f64 (fma.f64 (neg.f64 x) y y)))
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(-.f64 (+.f64 (neg.f64 x) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 y)))) (/.f64 (*.f64 y y) (fma.f64 x y (neg.f64 y))))
(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) y #s(literal 0 binary64)) x)
(-.f64 (fma.f64 x y (/.f64 (*.f64 y y) (+.f64 x y))) (/.f64 (*.f64 x x) (+.f64 x y)))
(-.f64 (fma.f64 x y (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(-.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (-.f64 y x) (*.f64 x y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (-.f64 y x) (*.f64 x y))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (-.f64 y #s(literal 1 binary64)) x))) (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 y (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (-.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (*.f64 x y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y))) (*.f64 x y)))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (neg.f64 y))))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 y))) (+.f64 (/.f64 (*.f64 y y) (fma.f64 x y (neg.f64 y))) x))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 y))) (-.f64 (/.f64 (*.f64 y y) (fma.f64 x y (neg.f64 y))) (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal -1 binary64)) x y)) (/.f64 (*.f64 x x) (fma.f64 (-.f64 y #s(literal -1 binary64)) x y)))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (fma.f64 x y x) y)) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (fma.f64 x y x) y)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (-.f64 y #s(literal -1 binary64)) x y) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (-.f64 y #s(literal -1 binary64)) x y) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 x (fma.f64 x y y)))
(-.f64 (fma.f64 x y y) x)
(-.f64 y (-.f64 x (*.f64 x y)))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (neg.f64 y))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (neg.f64 y)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal -1 binary64)) x y)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 y #s(literal -1 binary64)) x y))))
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (fma.f64 x y x) y)) (neg.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (fma.f64 x y x) y))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (-.f64 y #s(literal -1 binary64)) x y) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (-.f64 y #s(literal -1 binary64)) x y) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64))))))
(+.f64 (neg.f64 x) (fma.f64 x y y))
(+.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y)
(+.f64 (fma.f64 x y y) (neg.f64 x))
(+.f64 (-.f64 y x) (*.f64 x y))
(+.f64 (*.f64 x y) (-.f64 y x))
(+.f64 y (neg.f64 (-.f64 x (*.f64 x y))))
(+.f64 y (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64)))) (*.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal -1 binary64) y)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(neg.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))))
(fma.f64 (neg.f64 y) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 y #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) y)
(+.f64 y #s(literal -1 binary64))

eval32.0ms (0.6%)

Memory
21.5MiB live, 58.8MiB allocated
Compiler

Compiled 6 290 to 770 computations (87.8% saved)

prune6.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New2722274
Fresh000
Picked033
Done123
Total2737280
Accuracy
100.0%
Counts
280 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
76.3%
(fma.f64 x #s(approx (+ y -1) #s(literal -1 binary64)) y)
64.5%
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
41.0%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
2.7%
#s(approx (- (* (+ x 1) y) x) x)
60.6%
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
26.0%
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
Compiler

Compiled 73 to 52 computations (28.8% saved)

simplify36.0ms (0.7%)

Memory
-38.7MiB live, 8.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01447
01747
13247
24647
37447
411447
528447
645147
756947
868747
971947
1072147
1172347
1272747
072744
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
#s(approx (+ (* x y) y) (*.f64 x y))
(*.f64 x y)
x
y
(fma.f64 x #s(approx (+ y -1) #s(literal -1 binary64)) y)
x
#s(approx (+ y -1) #s(literal -1 binary64))
#s(literal -1 binary64)
y
Outputs
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
#s(approx (+ (* x y) y) (*.f64 x y))
(*.f64 x y)
x
y
(fma.f64 x #s(approx (+ y -1) #s(literal -1 binary64)) y)
(fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x y)
x
#s(approx (+ y -1) #s(literal -1 binary64))
#s(literal -1 binary64)
y

localize26.0ms (0.5%)

Memory
33.1MiB live, 33.1MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(fma.f64 x #s(approx (+ y -1) #s(literal -1 binary64)) y)
accuracy30.99557154900319
#s(approx (+ y -1) #s(literal -1 binary64))
accuracy0
(*.f64 x y)
accuracy25.18673583116781
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
accuracy30.17177029213004
#s(approx (+ (* x y) y) (*.f64 x y))
Samples
18.0ms256×0valid
Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (47.2% of total)
ival-add: 4.0ms (37.7% of total)
ival-sub: 1.0ms (9.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series36.0ms (0.7%)

Memory
-33.0MiB live, 5.6MiB allocated
Counts
5 → 22
Calls
Call 1
Inputs
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
#s(approx (+ (* x y) y) (*.f64 x y))
(*.f64 x y)
(fma.f64 x #s(approx (+ y -1) #s(literal -1 binary64)) y)
#s(approx (+ y -1) #s(literal -1 binary64))
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 (+ (* -1 (- y 1)) (* -1 (/ y x)))))
(* -1 x)
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(+ (* -1 x) (* y (+ 1 x)))
-1
(- y 1)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (- 1 (/ 1 y)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(* -1 (* y (- (/ 1 y) 1)))
Calls

6 calls:

TimeVariablePointExpression
32.0ms
x
@-inf
((+ (* y x) (- y x)) (+ (* x y) y) (* x y) (+ (* x (+ y -1)) y) (+ y -1))
2.0ms
y
@inf
((+ (* y x) (- y x)) (+ (* x y) y) (* x y) (+ (* x (+ y -1)) y) (+ y -1))
1.0ms
y
@-inf
((+ (* y x) (- y x)) (+ (* x y) y) (* x y) (+ (* x (+ y -1)) y) (+ y -1))
0.0ms
x
@inf
((+ (* y x) (- y x)) (+ (* x y) y) (* x y) (+ (* x (+ y -1)) y) (+ y -1))
0.0ms
y
@0
((+ (* y x) (- y x)) (+ (* x y) y) (* x y) (+ (* x (+ y -1)) y) (+ y -1))

simplify127.0ms (2.5%)

Memory
31.4MiB live, 105.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052107
1163107
2462107
31205107
42877107
54285107
65677107
76960107
87597107
0804894
Stop Event
iter limit
node limit
Counts
22 → 21
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 (+ (* -1 (- y 1)) (* -1 (/ y x)))))
(* -1 x)
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(+ (* -1 x) (* y (+ 1 x)))
-1
(- y 1)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (- 1 (/ 1 y)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(* -1 (* y (- (/ 1 y) 1)))
Outputs
y
(+ y (* x (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(+ y (* x y))
(fma.f64 x y y)
(* x y)
(*.f64 x y)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* -1 (* x (+ 1 (* -1 y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ y x)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x 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)
(+ (* -1 x) (* y (+ 1 x)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* -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)
(* -1 (* y (- (/ 1 y) 1)))
(-.f64 y #s(literal 1 binary64))

rewrite205.0ms (4.1%)

Memory
-7.5MiB live, 233.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01442
01742
19042
266142
0840739
Stop Event
iter limit
node limit
iter limit
Counts
5 → 55
Calls
Call 1
Inputs
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
#s(approx (+ (* x y) y) (*.f64 x y))
(*.f64 x y)
(fma.f64 x #s(approx (+ y -1) #s(literal -1 binary64)) y)
#s(approx (+ y -1) #s(literal -1 binary64))
Outputs
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
#s(approx (+ (* x y) y) (*.f64 x y))
(*.f64 x y)
(*.f64 y x)
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x y))
(*.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x y) (pow.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x y) (*.f64 (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)) (pow.f64 (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x y)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) y) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))) (/.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)))) (*.f64 (/.f64 (*.f64 y y) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))) (/.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))) (fma.f64 (/.f64 (*.f64 y y) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) y) #s(literal 2 binary64)))) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) y) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))) (*.f64 (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64))) (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x y))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (*.f64 y y)) (neg.f64 (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x)) (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)))))
(fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x y)
(fma.f64 x #s(approx (+ y -1) #s(literal -1 binary64)) y)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x))) (/.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (-.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x (neg.f64 y)))))
(+.f64 (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x) y)
(+.f64 y (*.f64 #s(approx (+ y -1) #s(literal -1 binary64)) x))
#s(approx (+ y -1) #s(literal -1 binary64))

eval9.0ms (0.2%)

Memory
-19.3MiB live, 17.8MiB allocated
Compiler

Compiled 1 927 to 184 computations (90.5% saved)

prune5.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New63063
Fresh000
Picked022
Done055
Total63770
Accuracy
100.0%
Counts
70 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
76.3%
(fma.f64 x #s(approx (+ y -1) #s(literal -1 binary64)) y)
64.5%
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
41.0%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
2.7%
#s(approx (- (* (+ x 1) y) x) x)
60.6%
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
26.0%
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
Compiler

Compiled 175 to 92 computations (47.4% saved)

regimes14.0ms (0.3%)

Memory
5.3MiB live, 42.4MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
(fma.f64 x #s(approx (+ y -1) #s(literal -1 binary64)) y)
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(fma.f64 y x (-.f64 y x))
(+.f64 y (fma.f64 y x (neg.f64 x)))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Outputs
(fma.f64 y x (-.f64 y x))
Calls

3 calls:

6.0ms
x
4.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
4.0ms
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)

regimes10.0ms (0.2%)

Memory
21.4MiB live, 21.4MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
(fma.f64 x #s(approx (+ y -1) #s(literal -1 binary64)) y)
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
Outputs
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
Calls

3 calls:

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

regimes69.0ms (1.4%)

Memory
-29.5MiB live, 17.8MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
(fma.f64 x #s(approx (+ y -1) #s(literal -1 binary64)) y)
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
Outputs
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
(fma.f64 x #s(approx (+ y -1) #s(literal -1 binary64)) y)
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
Calls

3 calls:

63.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
99.0%3x
99.6%3y
91.2%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
Outputs
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
Calls

3 calls:

2.0ms
y
2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms
x
Results
AccuracySegmentsBranch
67.4%5(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
69.3%4x
89.8%3y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.2%)

Memory
-24.7MiB live, 13.4MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
Outputs
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 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
56.1%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
46.6%4x
64.1%3y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Outputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Calls

3 calls:

2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
41.0%1x
41.0%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
41.0%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
y
1.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms
x
Results
AccuracySegmentsBranch
2.7%1x
2.7%1y
2.7%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch26.0ms (0.5%)

Memory
-13.8MiB live, 60.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
0.0002934319557609522
0.04339911934622908
13.0ms
-1.0683262823652445e+38
-2.5907117159113095e+28
Samples
12.0ms256×0valid
Compiler

Compiled 330 to 267 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (43.2% 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)

bsearch57.0ms (1.1%)

Memory
-1.6MiB live, 44.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
42.0ms
2.2163016858595506e-22
2.284127333092592e-9
12.0ms
-4.803223766811755e-61
-9.213032205676622e-76
Samples
43.0ms320×0valid
Compiler

Compiled 450 to 351 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 2.0ms (34.8% of total)
ival-mult: 2.0ms (34.8% of total)
ival-sub: 1.0ms (17.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.3%)

Memory
13.7MiB live, 13.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0002934319557609522
0.04339911934622908
12.0ms
-0.18765319664422217
-2.4264219047215703e-11
Samples
6.0ms160×0valid
Compiler

Compiled 469 to 351 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (34.9% of total)
ival-add: 1.0ms (34.9% of total)
ival-mult: 1.0ms (34.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify41.0ms (0.8%)

Memory
2.8MiB live, 40.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043165
151165
254165
355165
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y x (-.f64 y x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(if (<=.f64 y #s(literal -26000000000000001994743873536 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y)) (if (<=.f64 y #s(literal 6052837899185947/144115188075855872 binary64)) (fma.f64 x #s(approx (+ y -1) #s(literal -1 binary64)) y) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y))))
(if (<=.f64 y #s(literal -2003377295107783/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y)) (if (<=.f64 y #s(literal 693246421999813/19807040628566084398385987584 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y))))
(if (<=.f64 y #s(literal -3332663724254167/18014398509481984 binary64)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y))) (if (<=.f64 y #s(literal 6052837899185947/144115188075855872 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) x)
Outputs
(fma.f64 y x (-.f64 y x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) y)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) y)
(if (<=.f64 y #s(literal -26000000000000001994743873536 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y)) (if (<=.f64 y #s(literal 6052837899185947/144115188075855872 binary64)) (fma.f64 x #s(approx (+ y -1) #s(literal -1 binary64)) y) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y))))
(if (<=.f64 y #s(literal -2003377295107783/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y)) (if (<=.f64 y #s(literal 693246421999813/19807040628566084398385987584 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y))))
(if (<=.f64 y #s(literal -3332663724254167/18014398509481984 binary64)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y))) (if (<=.f64 y #s(literal 6052837899185947/144115188075855872 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) x)

soundness1.2s (24.5%)

Memory
-9.9MiB live, 555.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13815
226915
3336215
0849513
056114
1184114
2540114
31296114
43042114
54460114
65772114
76374114
87003114
97612114
08056100
04186
114086
236386
397786
4246086
5360386
6436386
7530486
8583086
9639486
10743786
0810676
01877
02776
113275
2114872
0958169
064131
1210131
2537131
31150131
42458131
53506131
64259131
75200131
85726131
96290131
107349131
08018119
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 301 to 141 computations (53.2% saved)

preprocess135.0ms (2.7%)

Memory
-23.5MiB live, 56.9MiB allocated
Compiler

Compiled 344 to 100 computations (70.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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