Numeric.Log:$clog1p from log-domain-0.10.2.1, A

Time bar (total: 6.0s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.5s (25.1%)

Memory
20.8MiB live, 1 517.3MiB allocated; 748ms collecting garbage
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 557.0ms (55.1% of total)
ival-add: 437.0ms (43.3% of total)
ival-true: 6.0ms (0.6% of total)
exact: 5.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

explain98.0ms (1.7%)

Memory
-7.6MiB live, 286.1MiB allocated; 19ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
00-0-(*.f64 y y)
00-0-(*.f64 x x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
30.0ms512×0valid
Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 10.0ms (64.4% of total)
ival-add: 4.0ms (25.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess183.0ms (3.1%)

Memory
10.1MiB live, 101.2MiB allocated; 17ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02051
18249
227346
356245
4106545
5141945
6186345
7240745
8330245
9416045
10477845
11492045
12498045
13501045
14501045
15525045
16568245
17568245
18568245
0811
0139
1349
21089
32599
44189
55439
66779
78409
813909
916689
1019429
1120189
1221129
1321309
021308
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Outputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
Symmetry

(abs y)

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify51.0ms (0.9%)

Memory
3.0MiB live, 49.4MiB allocated; 4ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff1
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
cost-diff2
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
01326
13426
210826
325926
441826
554326
667726
784026
8139026
9166826
10194226
11201826
12211226
13213026
0213025
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 x x)
(*.f64 y y)
y
Outputs
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(*.f64 x x)
(*.f64 y y)
y

localize65.0ms (1.1%)

Memory
-0.8MiB live, 57.2MiB allocated; 23ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 x #s(literal 2 binary64))
accuracy0.00390625
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
accuracy0.0078125
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Samples
58.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (66.2% of total)
ival-add: 2.0ms (26.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Counts
4 → 12
Calls
Call 1
Inputs
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
Outputs
(* 2 x)
(* x (+ 2 x))
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
1.0ms
x
@inf
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
1.0ms
x
@0
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
0.0ms
y
@inf
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
0.0ms
y
@0
((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))

simplify236.0ms (4%)

Memory
1.9MiB live, 232.9MiB allocated; 32ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036104
110998
238994
3209188
0868184
Stop Event
iter limit
node limit
Counts
12 → 12
Calls
Call 1
Inputs
(* 2 x)
(* x (+ 2 x))
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (/.f64 (*.f64 y y) x) x (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 (/.f64 (*.f64 y y) x) x (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(+ (* 2 x) (pow x 2))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) y) y)

rewrite262.0ms (4.4%)

Memory
-19.7MiB live, 254.5MiB allocated; 69ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01320
16120
255420
0942719
Stop Event
iter limit
node limit
iter limit
Counts
4 → 359
Calls
Call 1
Inputs
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x x))))))
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) x (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (+.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) x))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (+.f64 #s(literal 2 binary64) x)))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 (-.f64 #s(literal 2 binary64) x) x)))
(*.f64 x (-.f64 x #s(literal -2 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (neg.f64 x)))
(*.f64 x (-.f64 x #s(literal 2 binary64)))
(*.f64 x (-.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) x)) x)
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)))) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))))))
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (+.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 2 binary64) x) x)) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 9 binary64))) (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) x (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)))
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(-.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 x x)))
(+.f64 (+.f64 (fma.f64 y y (*.f64 x x)) x) x)
(+.f64 (fma.f64 y y (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))))))
(+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y)) (*.f64 x x))
(+.f64 (fma.f64 y y (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))
(+.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (*.f64 (neg.f64 y) y)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 4 binary64)))) (*.f64 (neg.f64 y) y)))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))))
(+.f64 (fma.f64 y y (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(+.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(+.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 (neg.f64 y) y))
(+.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y))
(+.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y)))
(+.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (neg.f64 x) x (*.f64 y y)))
(+.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 x x)))
(+.f64 x (-.f64 x (fma.f64 y y (*.f64 x x))))
(+.f64 x (-.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))))
(+.f64 x (+.f64 x (fma.f64 y y (*.f64 x x))))
(+.f64 x (+.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 #s(literal -2 binary64) x))
(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))

eval66.0ms (1.1%)

Memory
25.4MiB live, 78.8MiB allocated; 20ms collecting garbage
Compiler

Compiled 9 908 to 924 computations (90.7% saved)

prune59.0ms (1%)

Memory
-28.1MiB live, 19.8MiB allocated; 5ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3626368
Fresh000
Picked101
Done000
Total3636369
Accuracy
100.0%
Counts
369 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.1%
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
100.0%
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
64.8%
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
70.9%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
57.7%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
48.4%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
Compiler

Compiled 152 to 106 computations (30.3% saved)

simplify280.0ms (4.7%)

Memory
26.7MiB live, 210.8MiB allocated; 72ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 2 binary64) x)
cost-diff0
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
cost-diff0
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
cost-diff0
(+.f64 #s(literal 2 binary64) x)
cost-diff0
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
cost-diff0
(*.f64 y y)
cost-diff0
(+.f64 #s(literal 2 binary64) x)
cost-diff0
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019112
028103
161103
2161103
3357103
4537103
5672103
6841103
71364103
81686103
92000103
102252103
112803103
123520103
135844103
08396103
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(+.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 y y)
y
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
y
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
#s(literal 2 binary64)
x
(*.f64 y y)
y
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
y
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(-.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
Outputs
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(+.f64 #s(literal 2 binary64) x)
(-.f64 x #s(literal -2 binary64))
#s(literal 2 binary64)
x
(*.f64 y y)
y
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
(*.f64 y y)
y
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+.f64 #s(literal 2 binary64) x)
(-.f64 x #s(literal -2 binary64))
#s(literal 2 binary64)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
x
(*.f64 y y)
y
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))
y
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(-.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x

localize46.0ms (0.8%)

Memory
4.3MiB live, 92.9MiB allocated; 12ms collecting garbage
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 2 binary64) x)
accuracy0.00390625
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
accuracy1.4999834856333614
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
accuracy0.0
(*.f64 y y)
accuracy0.0078125
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
accuracy18.58505817500449
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
accuracy0.0
(+.f64 #s(literal 2 binary64) x)
accuracy0.00390625
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
accuracy27.087222837118084
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
accuracy0.0
(*.f64 y y)
accuracy33.030576290102076
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
accuracy0.0
(+.f64 #s(literal 2 binary64) x)
accuracy0.0
(*.f64 y y)
accuracy0.01171875
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
Samples
33.0ms256×0valid
Compiler

Compiled 100 to 18 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 13.0ms (60.9% of total)
ival-add: 7.0ms (32.8% of total)
ival-sub: 2.0ms (9.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated; 0ms collecting garbage
Counts
11 → 33
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(+.f64 #s(literal 2 binary64) x)
(*.f64 y y)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(-.f64 #s(literal 2 binary64) x)
Outputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
2
(+ 2 x)
(* 2 x)
(* x (+ 2 x))
(+ (* x (+ 2 (* -1 x))) (pow y 2))
(* x (+ 2 (* -1 x)))
(+ 2 (* -1 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 2 (/ (pow y 2) x)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))) 1))
(* -1 x)
(* x (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)) 1))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* x (- 2 x))
(+ (* x (- 2 x)) (pow y 2))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (/ (* x (- 2 x)) (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((+ (* (+ 2 x) x) (* y y)) (+ 2 x) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* y y) (* (- 2 x) x)) (* (- 2 x) x) (- 2 x))
1.0ms
x
@-inf
((+ (* (+ 2 x) x) (* y y)) (+ 2 x) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* y y) (* (- 2 x) x)) (* (- 2 x) x) (- 2 x))
1.0ms
x
@0
((+ (* (+ 2 x) x) (* y y)) (+ 2 x) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* y y) (* (- 2 x) x)) (* (- 2 x) x) (- 2 x))
1.0ms
y
@0
((+ (* (+ 2 x) x) (* y y)) (+ 2 x) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* y y) (* (- 2 x) x)) (* (- 2 x) x) (- 2 x))
1.0ms
y
@inf
((+ (* (+ 2 x) x) (* y y)) (+ 2 x) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* 2 x) (* y y)) (+ (* y y) (* (- 2 x) x)) (* (- 2 x) x) (- 2 x))

simplify219.0ms (3.7%)

Memory
-36.6MiB live, 258.2MiB allocated; 38ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067263
1207257
2686249
33646245
08501231
Stop Event
iter limit
node limit
Counts
33 → 32
Calls
Call 1
Inputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
2
(+ 2 x)
(* 2 x)
(* x (+ 2 x))
(+ (* x (+ 2 (* -1 x))) (pow y 2))
(* x (+ 2 (* -1 x)))
(+ 2 (* -1 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 2 (/ (pow y 2) x)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))) 1))
(* -1 x)
(* x (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)) 1))
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* x (- 2 x))
(+ (* x (- 2 x)) (pow y 2))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (/ (* x (- 2 x)) (pow y 2))))
Outputs
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
2
#s(literal 2 binary64)
(+ 2 x)
(-.f64 x #s(literal -2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+ (* x (+ 2 (* -1 x))) (pow y 2))
(fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(* x (+ 2 (* -1 x)))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(-.f64 x #s(literal -2 binary64))
(* x (+ 2 (/ (pow y 2) x)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))) 1))
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal -1 binary64)) x #s(literal 2 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 2 (/ 1 x)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(*.f64 (fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) x) y) #s(literal 2 binary64)) (neg.f64 x))
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)) 1))
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal -1 binary64)) x #s(literal 2 binary64)) x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)
(+ (* 2 x) (pow x 2))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* x (- 2 x))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(+ (* x (- 2 x)) (pow y 2))
(fma.f64 (-.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (/ (* x (- 2 x)) (pow y 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) y) y)

rewrite308.0ms (5.2%)

Memory
13.1MiB live, 582.3MiB allocated; 111ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01991
02882
114382
2102282
0888182
Stop Event
iter limit
node limit
iter limit
Counts
11 → 474
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(+.f64 #s(literal 2 binary64) x)
(*.f64 y y)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(*.f64 (-.f64 #s(literal 2 binary64) x) x)
(-.f64 #s(literal 2 binary64) x)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y))) (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y)))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (*.f64 y y))))) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))))) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))) (-.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 x (fma.f64 y y (*.f64 x x))) (+.f64 x (fma.f64 y y (*.f64 x x))))) (-.f64 x (+.f64 x (fma.f64 y y (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y y (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y))) (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (*.f64 y y))) (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (*.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (*.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) (*.f64 y y))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (+.f64 x (fma.f64 y y (*.f64 x x))) (+.f64 x (fma.f64 y y (*.f64 x x)))) (*.f64 x (+.f64 x (fma.f64 y y (*.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y y (*.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x (*.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 x) x)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (-.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (-.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 x) x)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (*.f64 (-.f64 x x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (*.f64 (-.f64 x x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (*.f64 (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (*.f64 (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y))) (*.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 x)) x)) (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 x x) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 x x (*.f64 (neg.f64 x) x)))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 x x)))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x)))))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 x x) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (neg.f64 x) x)))) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 x x)))
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x)))))
(/.f64 (fma.f64 (fma.f64 x x (*.f64 (neg.f64 x) x)) (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (-.f64 x x) (fma.f64 (neg.f64 x) x (*.f64 y y))))
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(*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -4 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) (+.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x))) (+.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 x x))) (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -2 binary64) (neg.f64 x)))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (+.f64 x #s(literal 2 binary64)) #s(literal -4 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (neg.f64 x) (+.f64 x #s(literal 2 binary64)) #s(literal -4 binary64))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64)))
(neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) x)))
(fma.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 4 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 4 binary64) (*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 4 binary64))))
(-.f64 #s(literal 2 binary64) x)
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 4 binary64)) (*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x x)) (+.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 x #s(literal 2 binary64))))

eval86.0ms (1.4%)

Memory
32.0MiB live, 174.4MiB allocated; 25ms collecting garbage
Compiler

Compiled 16 876 to 1 609 computations (90.5% saved)

prune25.0ms (0.4%)

Memory
-2.6MiB live, 43.8MiB allocated; 5ms collecting garbage
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New5845589
Fresh101
Picked235
Done000
Total5878595
Accuracy
100.0%
Counts
595 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
71.0%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))))
70.9%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
57.7%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
57.7%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
23.6%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
48.4%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
37.0%
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
Compiler

Compiled 212 to 140 computations (34% saved)

simplify81.0ms (1.4%)

Memory
-23.5MiB live, 23.6MiB allocated; 3ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y y x)
cost-diff0
(+.f64 (fma.f64 y y x) x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
cost-diff0
(fma.f64 x x x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
cost-diff1
(+.f64 (fma.f64 x x x) x)
cost-diff0
#s(approx (+ 2 x) #s(literal 2 binary64))
cost-diff0
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025139
032131
169129
2162129
3367129
4597129
5999129
61327129
71657129
81744129
91838129
101852129
01852124
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))))
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
y
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
#s(approx (+ 2 x) #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
(+.f64 (fma.f64 x x x) x)
(fma.f64 x x x)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
(+.f64 (fma.f64 y y x) x)
(fma.f64 y y x)
y
x
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
y
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
#s(approx (+ 2 x) #s(literal 2 binary64))
#s(literal 2 binary64)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
(+.f64 (fma.f64 x x x) x)
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(fma.f64 x x x)
x
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(+.f64 (fma.f64 y y x) x)
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(fma.f64 y y x)
y
x

localize44.0ms (0.7%)

Memory
1.1MiB live, 98.2MiB allocated; 9ms collecting garbage
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 y y x)
accuracy0.0234375
(+.f64 (fma.f64 y y x) x)
accuracy18.58505817500449
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
accuracy0.0
(fma.f64 x x x)
accuracy0.0078125
(+.f64 (fma.f64 x x x) x)
accuracy27.087222837118084
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
accuracy0.00390625
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
accuracy27.087222837118084
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
accuracy27.89915032058405
#s(approx (+ 2 x) #s(literal 2 binary64))
accuracy0.0
(*.f64 x x)
accuracy40.34305696033885
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
accuracy0.0
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
accuracy0.0
(*.f64 x #s(literal 2 binary64))
accuracy18.58505817500449
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))))
Samples
33.0ms256×0valid
Compiler

Compiled 109 to 18 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-add: 12.0ms (55.5% of total)
ival-mult: 9.0ms (41.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Counts
14 → 26
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))))
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
#s(approx (+ 2 x) #s(literal 2 binary64))
(+.f64 (fma.f64 x x x) x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
(fma.f64 x x x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
(+.f64 (fma.f64 y y x) x)
(fma.f64 y y x)
Outputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(* 2 x)
(pow x 2)
(* x (+ 2 x))
2
(+ 2 x)
x
(* x (+ 1 x))
(+ x (pow y 2))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* x (+ 2 (/ (pow y 2) x)))
(* x (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (/ 1 x)))
(* x (+ 1 (/ (pow y 2) x)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 1)))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (/ x (pow y 2))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (* x 2)) (* x 2) (+ (* (+ 2 x) x) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x))
1.0ms
x
@inf
((+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (* x 2)) (* x 2) (+ (* (+ 2 x) x) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x))
1.0ms
x
@0
((+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (* x 2)) (* x 2) (+ (* (+ 2 x) x) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x))
1.0ms
y
@inf
((+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (* x 2)) (* x 2) (+ (* (+ 2 x) x) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x))
1.0ms
y
@-inf
((+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (* x 2)) (* x 2) (+ (* (+ 2 x) x) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (+ 2 x) x) (+ 2 x) (+ (+ (* x x) x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* x x) x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x))

simplify279.0ms (4.7%)

Memory
-17.7MiB live, 232.5MiB allocated; 187ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058206
1190194
2621190
33098188
08201174
Stop Event
iter limit
node limit
Counts
26 → 25
Calls
Call 1
Inputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(* 2 x)
(pow x 2)
(* x (+ 2 x))
2
(+ 2 x)
x
(* x (+ 1 x))
(+ x (pow y 2))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* x (+ 2 (/ (pow y 2) x)))
(* x (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (/ 1 x)))
(* x (+ 1 (/ (pow y 2) x)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 1)))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (/ x (pow y 2))))
Outputs
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(pow x 2)
(*.f64 x x)
(* x (+ 2 x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 x)
(-.f64 x #s(literal -2 binary64))
x
(* x (+ 1 x))
(fma.f64 x x x)
(+ x (pow y 2))
(fma.f64 y y x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
(* x (+ 2 (/ (pow y 2) x)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(* x (+ 1 (* 2 (/ 1 x))))
(-.f64 x #s(literal -2 binary64))
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* x (+ 1 (/ (pow y 2) x)))
(fma.f64 y y x)
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(*.f64 (fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 2 binary64)) x)
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 y) x) y) #s(literal 2 binary64)))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (neg.f64 y) x) y) #s(literal 1 binary64)))
(+ (* 2 x) (pow x 2))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (/ x (pow y 2))))
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) y y) y)

rewrite219.0ms (3.7%)

Memory
36.3MiB live, 265.2MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025130
032122
1166120
21340120
08672115
Stop Event
iter limit
node limit
iter limit
Counts
14 → 403
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))))
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
#s(approx (+ 2 x) #s(literal 2 binary64))
(+.f64 (fma.f64 x x x) x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
(fma.f64 x x x)
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
(+.f64 (fma.f64 y y x) x)
(fma.f64 y y x)
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 y y x) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 y y x) x)))) (+.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 y y x) x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))) (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 y y x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 y y x) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 y y x) x)) (*.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 y y x) x))))))
(/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))))))
(/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 y) y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 y y) (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (*.f64 y y) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 y y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 y y x) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 (neg.f64 x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))) (*.f64 (fma.f64 y y (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (fma.f64 y y (*.f64 #s(literal -2 binary64) x)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (-.f64 (fma.f64 y y x) x)) (*.f64 (-.f64 (fma.f64 y y x) x) (*.f64 x x))) (*.f64 (-.f64 (fma.f64 y y x) x) (-.f64 (fma.f64 y y x) x)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (*.f64 (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (*.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (-.f64 x (fma.f64 y y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 y y (*.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 y y x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 (fma.f64 y y x) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 y y x)) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y y x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 y y x) x))
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))) (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) x)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x x (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (*.f64 (neg.f64 y) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 x (*.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 y y) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) (*.f64 (-.f64 (*.f64 y y) x) (*.f64 x x))) (pow.f64 (-.f64 (*.f64 y y) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (+.f64 x (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (+.f64 x (*.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (-.f64 x (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x)) (-.f64 (*.f64 y y) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) x)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 y y))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 y y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) x)
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) x)
(fma.f64 (neg.f64 y) (neg.f64 y) x)
(fma.f64 y y x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 x (*.f64 y y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) x)))
(-.f64 x (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(-.f64 x (*.f64 (neg.f64 y) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) x)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) x)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (*.f64 y y) x)))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 y y) x)))
(+.f64 (*.f64 y y) x)
(+.f64 x (*.f64 y y))

eval59.0ms (1%)

Memory
-37.6MiB live, 61.9MiB allocated; 19ms collecting garbage
Compiler

Compiled 12 284 to 1 339 computations (89.1% saved)

prune6.0ms (0.1%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New3351336
Fresh000
Picked235
Done033
Total3377344
Accuracy
100.0%
Counts
344 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
71.0%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
57.7%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
57.7%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
23.6%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
48.4%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
37.0%
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
Compiler

Compiled 108 to 72 computations (33.3% saved)

simplify73.0ms (1.2%)

Memory
-16.6MiB live, 28.4MiB allocated; 5ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x x)
cost-diff0
(fma.f64 y y (+.f64 x x))
cost-diff0
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01129
01327
14027
212627
330127
446927
561227
678027
7127027
8154627
9182027
10190027
11199427
12201427
0201426
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
(fma.f64 y y (+.f64 x x))
y
(+.f64 x x)
x
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(fma.f64 y y (+.f64 x x))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
y
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x

localize22.0ms (0.4%)

Memory
29.8MiB live, 29.8MiB allocated; 0ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 y y (+.f64 x x))
accuracy0.0
(+.f64 x x)
accuracy18.58505817500449
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
Samples
16.0ms256×0valid
Compiler

Compiled 25 to 12 computations (52% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (53% of total)
ival-add: 4.0ms (42.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Counts
3 → 14
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
(fma.f64 y y (+.f64 x x))
(+.f64 x x)
Outputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(* 2 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* x (+ 2 (/ (pow y 2) x)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (+ x x)) (+ x x))
0.0ms
x
@-inf
((+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (+ x x)) (+ x x))
0.0ms
y
@inf
((+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (+ x x)) (+ x x))
0.0ms
y
@-inf
((+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (+ x x)) (+ x x))
0.0ms
x
@0
((+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (+ x x)) (+ x x))

simplify261.0ms (4.4%)

Memory
12.6MiB live, 191.7MiB allocated; 50ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042112
1134106
2471106
3251898
0904189
Stop Event
iter limit
node limit
Counts
14 → 14
Calls
Call 1
Inputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(* 2 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* x (+ 2 (/ (pow y 2) x)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
Outputs
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(* x (+ 2 (/ (pow y 2) x)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
(+ (* 2 x) (pow x 2))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 y y (*.f64 #s(literal 2 binary64) x))

rewrite349.0ms (5.8%)

Memory
-29.7MiB live, 415.4MiB allocated; 102ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
01325
18925
289325
0899824
Stop Event
iter limit
node limit
iter limit
Counts
3 → 310
Calls
Call 1
Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
(fma.f64 y y (+.f64 x x))
(+.f64 x x)
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))) (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 #s(literal -2 binary64) x))) (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal 0 binary64))) #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal 0 binary64))) #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal 0 binary64))) #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal 0 binary64))) #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal 0 binary64))) #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal 0 binary64))) #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 y y x) #s(literal 2 binary64))) (-.f64 x (fma.f64 y y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (fma.f64 y y (*.f64 #s(literal -2 binary64) x)))
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(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64)))) (*.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64)))) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64)))) (*.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x))) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64))) #s(literal 0 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 0 binary64)) (*.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fabs.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))) #s(literal 0 binary64))
(/.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x))) (fabs.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fabs.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)))) (fabs.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))))
(/.f64 (fabs.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64)))) (fabs.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))))
(/.f64 (fabs.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (fabs.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64))) (fabs.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(hypot.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (pow.f64 x #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 x #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 2 binary64) x))) (sinh.f64 (log.f64 (*.f64 #s(literal 2 binary64) x))))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 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 (neg.f64 x) (neg.f64 x))
(+.f64 x x)

eval52.0ms (0.9%)

Memory
21.7MiB live, 67.0MiB allocated; 5ms collecting garbage
Compiler

Compiled 9 630 to 1 227 computations (87.3% saved)

prune24.0ms (0.4%)

Memory
-27.0MiB live, 29.9MiB allocated; 17ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New3170317
Fresh000
Picked011
Done066
Total3177324
Accuracy
100.0%
Counts
324 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
71.0%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
57.7%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
57.7%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
23.6%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
48.4%
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
37.0%
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
Compiler

Compiled 299 to 118 computations (60.5% saved)

regimes22.0ms (0.4%)

Memory
18.1MiB live, 65.1MiB allocated; 4ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))))
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 #s(literal 2 binary64) x))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Outputs
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
Calls

5 calls:

6.0ms
x
4.0ms
y
4.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
4.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
100.0%1(*.f64 y y)
100.0%1(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
100.0%1(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
100.0%1x
100.0%1y
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes25.0ms (0.4%)

Memory
-19.4MiB live, 68.2MiB allocated; 9ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))))
(fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) x))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x)))
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
Calls

5 calls:

8.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
6.0ms
y
3.0ms
x
3.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
86.2%2(*.f64 y y)
91.7%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
71.0%1(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
92.7%3x
86.2%2y
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes3.0ms (0%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
Calls

1 calls:

2.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Results
AccuracySegmentsBranch
91.7%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes11.0ms (0.2%)

Memory
-23.5MiB live, 34.0MiB allocated; 4ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 x x x) x))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
Calls

4 calls:

4.0ms
y
2.0ms
x
2.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
85.5%2(*.f64 y y)
85.5%2y
70.7%3x
70.7%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes7.0ms (0.1%)

Memory
27.0MiB live, 27.0MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
Calls

4 calls:

2.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
2.0ms
y
2.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
69.3%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
63.4%2(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
70.6%3(*.f64 y y)
70.6%3y
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes7.0ms (0.1%)

Memory
-27.8MiB live, 19.2MiB allocated; 2ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
Outputs
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
Calls

5 calls:

2.0ms
x
1.0ms
y
1.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
1.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
37.0%1(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
37.0%1(*.f64 y y)
37.0%1y
37.0%1x
37.0%1(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.1879143702650158e+98
5.368250100729619e+108
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.1879143702650158e+98
5.368250100729619e+108
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch25.0ms (0.4%)

Memory
11.4MiB live, 55.2MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
2.7057503405107437e-34
2.1303204443368672e-30
Samples
19.0ms128×0valid
Compiler

Compiled 270 to 205 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (77.1% of total)
ival-add: 1.0ms (25.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.1879143702650158e+98
5.368250100729619e+108
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify106.0ms (1.8%)

Memory
-15.7MiB live, 133.5MiB allocated; 28ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035167
159167
2132167
3287167
4459167
5591167
6935167
73488167
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 399999999999999999076148098057483202786450191969615355682227455864390346192518705911647729914740736 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x))) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 399999999999999999076148098057483202786450191969615355682227455864390346192518705911647729914740736 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x)))
(if (<=.f64 y #s(literal 2740315569995443/91343852333181432387730302044767688728495783936 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 399999999999999999076148098057483202786450191969615355682227455864390346192518705911647729914740736 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x)))
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
Outputs
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 399999999999999999076148098057483202786450191969615355682227455864390346192518705911647729914740736 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x))) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 399999999999999999076148098057483202786450191969615355682227455864390346192518705911647729914740736 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (+.f64 x x))) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 399999999999999999076148098057483202786450191969615355682227455864390346192518705911647729914740736 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 399999999999999999076148098057483202786450191969615355682227455864390346192518705911647729914740736 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)))
(if (<=.f64 y #s(literal 2740315569995443/91343852333181432387730302044767688728495783936 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 399999999999999999076148098057483202786450191969615355682227455864390346192518705911647729914740736 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) #s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 399999999999999999076148098057483202786450191969615355682227455864390346192518705911647729914740736 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)))
#s(approx (+ (* (+ 2 x) x) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

derivations673.0ms (11.3%)

Memory
17.1MiB live, 664.8MiB allocated; 101ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067263
1207257
2686249
33646245
08501231
036104
110998
238994
3209188
0868184
025130
032122
1166120
21340120
08672115
0824
01320
16120
255420
0942719
01991
02882
114382
2102282
0888182
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 185 to 33 computations (82.2% saved)

preprocess117.0ms (2%)

Memory
16.1MiB live, 120.3MiB allocated; 33ms collecting garbage
Remove

(abs y)

Compiler

Compiled 446 to 122 computations (72.6% saved)

end0.0ms (0%)

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

Profiling

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