Data.Colour.SRGB:transferFunction from colour-2.3.3

Time bar (total: 4.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample687.0ms (14.7%)

Memory
31.6MiB live, 897.2MiB allocated
Samples
467.0ms8 253×0valid
0.0ms2×2valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 268.0ms
ival-mult: 105.0ms (39.1% of total)
ival-add: 78.0ms (29.1% of total)
ival-sub: 71.0ms (26.4% of total)
ival-true: 6.0ms (2.2% of total)
exact: 5.0ms (1.9% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain81.0ms (1.7%)

Memory
-31.0MiB live, 169.8MiB 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
Total Time
22.376708984375
Average Time
0.08740901947021484
Samples
14.0ms256×0valid
Compiler

Compiled 63 to 32 computations (49.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 5.0ms (61.2% of total)
ival-mult: 2.0ms (24.5% of total)
ival-sub: 1.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess65.0ms (1.4%)

Memory
21.6MiB live, 63.8MiB allocated
Algorithm
1×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
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
0.2MiB live, 0.2MiB 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)

simplify27.0ms (0.6%)

Memory
-12.6MiB live, 27.5MiB 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
519118
635418
756218
863618
964118
064116
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

localize59.0ms (1.3%)

Memory
-2.9MiB live, 34.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.00390625
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
Samples
55.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 45.0ms (92.5% of total)
ival-sub: 2.0ms (4.1% of total)
ival-add: 1.0ms (2.1% 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
4.6MiB live, 4.6MiB allocated
Counts
3 → 19
Calls
Call 1
Inputs
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
(+.f64 x #s(literal 1 binary64))
Outputs
y
(+ y (* x y))
(+ y (* x (- y 1)))
1
(+ 1 x)
(* x y)
(* x (+ y (/ y x)))
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* y (+ 1 x))
(* -1 x)
(- (* y (+ 1 x)) x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
Calls

6 calls:

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

simplify169.0ms (3.6%)

Memory
20.3MiB live, 58.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04186
114086
236386
397786
4246086
5360386
6436386
7530486
8583086
9639486
10743786
0810676
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)))
(-.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)

rewrite279.0ms (6%)

Memory
-5.2MiB live, 156.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13815
226915
3336215
0849513
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 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))

eval82.0ms (1.8%)

Memory
-13.0MiB live, 71.7MiB allocated
Compiler

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

prune7.0ms (0.2%)

Memory
-15.9MiB live, 20.6MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3314335
Fresh000
Picked101
Done000
Total3324336
Accuracy
100.0%
Counts
336 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 y x (-.f64 y x))
▶76.7%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
▶59.3%
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
▶37.1%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify63.0ms (1.4%)

Memory
6.8MiB live, 44.1MiB 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
(*.f64 y x)
cost-diff0
#s(approx (* (+ x 1) y) (*.f64 y x))
cost-diff0
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01673
02373
13972
26572
310872
423572
541672
659472
767872
868872
969072
069070
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
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (* (+ x 1) y) (*.f64 y x))
(*.f64 y x)
y
x
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
#s(approx (+ x 1) #s(literal 1 binary64))
#s(literal 1 binary64)
y
x
(fma.f64 y x (-.f64 y x))
y
x
(-.f64 y x)
Outputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
x
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (* (+ x 1) y) (*.f64 y x))
(*.f64 y x)
y
x
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y (neg.f64 x))
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
#s(approx (+ x 1) #s(literal 1 binary64))
#s(literal 1 binary64)
y
x
(fma.f64 y x (-.f64 y x))
(-.f64 (fma.f64 y x y) x)
y
x
(-.f64 y x)

localize145.0ms (3.1%)

Memory
-14.6MiB live, 35.5MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 y x (-.f64 y x))
accuracy0
(-.f64 y x)
accuracy0
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
accuracy0.00390625
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
accuracy28.807843864932533
#s(approx (+ x 1) #s(literal 1 binary64))
accuracy0
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
accuracy0
(*.f64 y x)
accuracy34.009435218229015
#s(approx (* (+ x 1) y) (*.f64 y x))
accuracy0
(neg.f64 x)
accuracy40.22920788868914
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
Samples
19.0ms256×0valid
Compiler

Compiled 132 to 29 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 3.0ms (31% of total)
ival-mult: 3.0ms (31% of total)
ival-sub: 2.0ms (20.6% of total)
ival-neg: 1.0ms (10.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
10 → 27
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (* (+ x 1) y) (*.f64 y x))
(*.f64 y x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
#s(approx (+ x 1) #s(literal 1 binary64))
(fma.f64 y x (-.f64 y x))
(-.f64 y x)
Outputs
y
(+ y (* x (- y 1)))
(* -1 x)
(+ y (* x y))
(* x y)
1
(+ 1 x)
(+ y (* -1 x))
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (+ y (/ y x)))
x
(* x (+ 1 (/ 1 x)))
(* x (- (/ y x) 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(- y x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(* -1 (* y (- (/ x y) 1)))
Calls

6 calls:

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

simplify225.0ms (4.8%)

Memory
9.8MiB live, 121.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060116
1193116
2505116
31128116
42445116
53550116
64300116
75244116
85770116
96334116
107377116
08046104
Stop Event
1×iter limit
1×node limit
Counts
27 → 25
Calls
Call 1
Inputs
y
(+ y (* x (- y 1)))
(* -1 x)
(+ y (* x y))
(* x y)
1
(+ 1 x)
(+ y (* -1 x))
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (+ y (/ y x)))
x
(* x (+ 1 (/ 1 x)))
(* x (- (/ y x) 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(- y x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(* -1 (* y (- (/ x y) 1)))
Outputs
y
(+ y (* x (- y 1)))
(fma.f64 y x (-.f64 y x))
(* -1 x)
(neg.f64 x)
(+ y (* x y))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ y (* -1 x))
(-.f64 y x)
(* x (- y 1))
(fma.f64 y x (neg.f64 x))
(* x (- (+ y (/ y x)) 1))
(fma.f64 y x (-.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 y x (-.f64 y x))
(* -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 y x (-.f64 y x))
(* y (+ 1 x))
(fma.f64 y x y)
(- y x)
(-.f64 y x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 y x (-.f64 y x))
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(fma.f64 y x (-.f64 y x))
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(fma.f64 y x (-.f64 y x))
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)

rewrite240.0ms (5.2%)

Memory
-32.8MiB live, 223.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01665
02365
110364
282864
0859762
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 321
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (* (+ x 1) y) (*.f64 y x))
(*.f64 y x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
#s(approx (+ x 1) #s(literal 1 binary64))
(fma.f64 y x (-.f64 y x))
(-.f64 y x)
Outputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (pow.f64 (neg.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 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.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 (neg.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))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(*.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) (neg.f64 x))))))
(*.f64 (-.f64 (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) (pow.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)) #s(literal -1 binary64))
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(/.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 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 (*.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 (*.f64 (neg.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 (*.f64 x x) (*.f64 (neg.f64 x) y)))))
(/.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 (*.f64 x x) (*.f64 (neg.f64 x) y))))
(/.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 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 x) y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.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)))
(neg.f64 (neg.f64 (-.f64 y x)))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) y)
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) 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 (neg.f64 x) #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) y)
(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))

eval39.0ms (0.8%)

Memory
18.6MiB live, 92.0MiB allocated
Compiler

Compiled 10 062 to 1 013 computations (89.9% saved)

prune5.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3291330
Fresh000
Picked134
Done000
Total3304334
Accuracy
100.0%
Counts
334 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓76.7%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓59.3%
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
✓37.1%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
▶65.1%
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
Compiler

Compiled 42 to 31 computations (26.2% saved)

simplify50.0ms (1.1%)

Memory
-37.1MiB live, 17.6MiB 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
643217
752517
854717
054717
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

localize16.0ms (0.3%)

Memory
30.8MiB live, 30.8MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 y x y)
accuracy22.325375145524653
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
Samples
11.0ms256×0valid
Compiler

Compiled 34 to 15 computations (55.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (34% of total)
ival-add: 2.0ms (34% of total)
ival-mult: 2.0ms (34% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series28.0ms (0.6%)

Memory
-34.1MiB live, 3.6MiB 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
27.0ms
y
@-inf
((+ (* y x) (- y x)) (+ (* y x) y))
0.0ms
y
@inf
((+ (* y x) (- y x)) (+ (* y x) y))
0.0ms
x
@-inf
((+ (* y x) (- y x)) (+ (* y x) y))
0.0ms
x
@inf
((+ (* y x) (- y x)) (+ (* y x) y))
0.0ms
y
@0
((+ (* y x) (- y x)) (+ (* y x) y))

simplify182.0ms (3.9%)

Memory
24.2MiB live, 174.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04183
113183
235083
396983
4239083
5340683
6406683
7481183
8503683
9518683
10602783
0866772
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))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x y)
(*.f64 x y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* -1 (* x (+ 1 (* -1 y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* -1 x)
(neg.f64 x)
(- (* y (+ 1 x)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 x y y)
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)

rewrite159.0ms (3.4%)

Memory
37.5MiB live, 261.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
0815
14615
242215
3670315
0806315
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 72
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))) (pow.f64 (-.f64 y (*.f64 x y)) #s(literal -1 binary64)))
(*.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)))) (pow.f64 (neg.f64 (-.f64 (*.f64 x y) y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 x y))))) #s(literal -1 binary64)))
(*.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 (-.f64 y (*.f64 x y)) (*.f64 y (-.f64 y (*.f64 (*.f64 x x) y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x y y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x y y) #s(literal -1 binary64)) #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 (pow.f64 (fma.f64 x y y) #s(literal -1 binary64))))
(/.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 (pow.f64 (fma.f64 x y y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x y y) #s(literal -1 binary64)))
(/.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))))
(+.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))

eval77.0ms (1.7%)

Memory
-35.5MiB live, 27.9MiB allocated
Compiler

Compiled 2 331 to 287 computations (87.7% saved)

prune3.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New76177
Fresh000
Picked011
Done033
Total76581
Accuracy
100.0%
Counts
81 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓76.7%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓59.3%
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
✓37.1%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓65.1%
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
▶25.4%
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
Compiler

Compiled 59 to 40 computations (32.2% saved)

simplify18.0ms (0.4%)

Memory
6.3MiB live, 6.3MiB 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
643831
753431
855631
055628
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

localize33.0ms (0.7%)

Memory
-12.1MiB live, 24.2MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x y)
accuracy22.325375145524653
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
accuracy34.009435218229015
#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: 9.0ms
ival-add: 4.0ms (43.1% of total)
ival-mult: 4.0ms (43.1% of total)
ival-sub: 1.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.5MiB live, 3.5MiB 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
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
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))

simplify185.0ms (4%)

Memory
-4.6MiB live, 153.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04183
113183
235083
396983
4239083
5340683
6406683
7481183
8503683
9518683
10602783
0866772
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))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- (+ y (/ y x)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* x (+ y (/ y x)))
(fma.f64 x y y)
(* -1 (* x (+ 1 (* -1 y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 x y y)
(* -1 x)
(neg.f64 x)
(- (* y (+ 1 x)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 x y y)
(* -1 (* y (- (+ (* -1 x) (/ x y)) 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x y)

rewrite145.0ms (3.1%)

Memory
20.4MiB live, 140.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
01029
14829
242429
3670729
0806726
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
1.3MiB live, 1.3MiB allocated
Compiler

Compiled 156 to 28 computations (82.1% saved)

prune41.0ms (0.9%)

Memory
-34.5MiB live, 3.9MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New10010
Fresh000
Picked011
Done044
Total10515
Accuracy
100.0%
Counts
15 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓76.7%
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓59.3%
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
✓37.1%
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓65.1%
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
✓25.4%
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
Compiler

Compiled 131 to 69 computations (47.3% saved)

regimes9.0ms (0.2%)

Memory
20.9MiB live, 20.9MiB 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))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(fma.f64 y x (-.f64 y x))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Outputs
(fma.f64 y x (-.f64 y x))
Calls

3 calls:

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

regimes8.0ms (0.2%)

Memory
17.6MiB live, 17.6MiB 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))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
Outputs
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
Calls

3 calls:

2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
98.5%3x
99.4%3y
89.3%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.2%)

Memory
-19.3MiB live, 16.2MiB 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))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
Outputs
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
Calls

3 calls:

5.0ms
y
2.0ms
x
2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Results
AccuracySegmentsBranch
68.5%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
87.5%3x
87.7%3y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory
5.2MiB live, 5.2MiB 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
87.7%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB 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:

2.0ms
y
2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms
x
Results
AccuracySegmentsBranch
49.8%3(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
40.1%2x
58.8%3y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.2%)

Memory
-25.8MiB live, 10.6MiB 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:

5.0ms
x
1.0ms
y
1.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
Results
AccuracySegmentsBranch
37.1%1x
37.1%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
37.1%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch26.0ms (0.6%)

Memory
-8.6MiB live, 38.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
3.7566285268177067e-11
96.14287881005032
8.0ms
-3439.3272718427384
-179.38577115280088
Samples
10.0ms272×0valid
Compiler

Compiled 367 to 300 computations (18.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (40.2% of total)
ival-mult: 2.0ms (40.2% of total)
ival-sub: 1.0ms (20.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.4%)

Memory
29.9MiB live, 29.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
4.170836269376914e-27
2.396006518762694e-24
9.0ms
-1.783480545275952e-16
-6.1151663203088985e-21
Samples
10.0ms256×0valid
Compiler

Compiled 378 to 283 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (42.3% of total)
ival-sub: 1.0ms (21.1% of total)
ival-add: 1.0ms (21.1% 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
3.3MiB live, 3.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.170836269376914e-27
2.396006518762694e-24
1.0ms
-1.783480545275952e-16
-6.1151663203088985e-21
Compiler

Compiled 362 to 283 computations (21.8% saved)

bsearch29.0ms (0.6%)

Memory
-26.4MiB live, 12.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.7566285268177067e-11
96.14287881005032
27.0ms
-0.0013750284955727882
-4.622951456237713e-8
Samples
5.0ms128×0valid
Compiler

Compiled 496 to 353 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (42.9% of total)
ival-add: 1.0ms (42.9% of total)
ival-mult: 1.0ms (42.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify23.0ms (0.5%)

Memory
26.9MiB live, 26.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042194
153194
258194
359194
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 y #s(literal -180 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 1 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 -3530761863803683/20769187434139310514121985316880384 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 2558923399245457/5444517870735015415413993718908291383296 binary64)) (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -3530761863803683/20769187434139310514121985316880384 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 2558923399245457/5444517870735015415413993718908291383296 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 -3112888062438487/2305843009213693952 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 -180 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 1 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 -3530761863803683/20769187434139310514121985316880384 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 2558923399245457/5444517870735015415413993718908291383296 binary64)) (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -3530761863803683/20769187434139310514121985316880384 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 2558923399245457/5444517870735015415413993718908291383296 binary64)) (-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -3530761863803683/20769187434139310514121985316880384 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 2558923399245457/5444517870735015415413993718908291383296 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 -3112888062438487/2305843009213693952 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))

soundness1.3s (28%)

Memory
-21.3MiB live, 527.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13815
226915
3336215
0849513
04183
113183
235083
396983
4239083
5340683
6406683
7481183
8503683
9518683
10602783
0866772
060116
1193116
2505116
31128116
42445116
53550116
64300116
75244116
85770116
96334116
107377116
08046104
04186
114086
236386
397786
4246086
5360386
6436386
7530486
8583086
9639486
10743786
0810676
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 291 to 114 computations (60.8% saved)

preprocess93.0ms (2%)

Memory
-0.6MiB live, 80.7MiB allocated
Compiler

Compiled 402 to 96 computations (76.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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